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Dallasb22
Group Title
What is the area of a right triangle with
Side a: 5√2
Side b: 4√2?
 2 years ago
 2 years ago
Dallasb22 Group Title
What is the area of a right triangle with Side a: 5√2 Side b: 4√2?
 2 years ago
 2 years ago

This Question is Closed

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I got 10.. Formula to find right angle: A=1/2BH
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
find the side and then use use heros formula.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
side c.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
You mean to find C?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So i use: 5√2^2+4√^2=C^2
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
by using pythagourus theorm
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So i do √18
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
thats 3redical2=c
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
2sides are in radical then 3rd should be also in radical. do you know radical mean?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Yes the X√x right?
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
yes great.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So it would be 9√2^2?
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
\[18=\sqrt{3*3*2}\] \[18=\sqrt{9*2}\] u know the square roof of 9 is 3 then \[18=3\sqrt{2}\]
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Ok. So C=3√2
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
What is the Hero's formula?
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
therefor c=3redical2
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
A=5√2, B=4√2, C=3√2
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
do you know about Hero's formula ?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
If it's a right triangle, you don't need Heron's formula . . .
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I don't know Heron's formula. And yes, it is a Right Triangle
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Multiply a×b then divide by 2.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Nice of you to join us, Cliff
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
*salutes* Heron's formula is general for any kind of triangle where you don't feel like using trigonometry to find the height. It requires that you know all three sides first, so often, you'll need trigonometry anyway.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
5√2 * 4√2= 40 40/2= 20
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
QED. Good job.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
yes i am in that i am talking about Hero's formula not herons.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Okay, good to know, i googled Heron's formula. Hero formula=Heron's formula
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Same guy. Heron is another name for Hero of Alexandria (en.wikipedia.org/wiki/Hero_of_Alexandria)
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
ok me too.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I also, noted down Heron's formula for later use :D So the area: 20?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Thanks Muhammad !
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Thanks cliff!
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I have another question if one of you don't mind
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
its ok bro. u r welcome.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
bro look at here what is says http://www.mathsisfun.com/geometry/heronsformula.html
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Heron's formula is pretty cool, but I prefer using the Law of Sines and Law of Cosines better (provided you know at least 1 angle.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
Step 2: Then calculate the Area using:
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
means we were dong right or wrong?
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
i was doing without angles.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Area of any triangle is half the product of the base and height. For a right triangle, the two perpendicular legs are the base and height.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
its easy for @Dallasb22
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
ok lets see by using herons formula.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Actually, you were doing it with angles because you saw the right angle and used Pythagoras' theorem for the third side (which was unnecessary).
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Be my guest. Heron's formula is a beast and not worth my time.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Yes, receiving the third side is only necessary if we use Heron's formula.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
and if it wasn't a right angle, then you'd have to use law of cosines or law of sines to find the third side, and if you're going to use trig anyway, might as well solve for the height instead (which is easier) and you still don't need Heron's formula.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge Another right triangle, A=2√3 c=4 What do i do here?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Ah true, Cause 1/2BH=Area
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I'd still only need base and height.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
If you now have a leg and the hypotenuse, use PT to find the other leg then same as before.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
As a fun exercise just to practice some arithmetic, you can use Heron's formula to verify the area, or viceverse.
 2 years ago

muhammad9t5 Group TitleBest ResponseYou've already chosen the best response.0
what are the answers of 1st question?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Okay, so 2√3^2+b^2=4^2 6+B^2=16
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
@muhammad9t5 Answer for Q1 is 20
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So i subtract 6 to both sides B^2=10
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
mm, something doesn't look right there..
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
They want my answer to be x√x
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
I think you forgot to square the 2 in (2√3)
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Ahhhh. Thats my PROBLEM!!!
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So it'd be 4√9 = 12
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Side B= 2
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So I would multiply A and B 2√3 * 2 =X x/2=Area?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Giving me an area of: 4√3
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
did you divide by 2?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Ah man. *facepalm*
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
2√3 IS the area
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Math teaches us to be precise and methodical, yes?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Hehe, yes it does.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I have 2 more if you don't mind.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
They should be easy, they are equilateral.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I just am doing something wrong that I can't find..
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
And remember, that is more important than any particular kind of math problem. It's the problemsolving attitude, the patience, the planning, that is more important than whether or not you can solve this or that equation.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Wanna take this equilateral triangle, muhammad? I'm going to take a coffee break.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Yes, i know what you mean. If you didn't catch me I would have gotten it wrong, because I was rushing.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
All three sides: 5, so the perimeter: 15 What is the area?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Equilateral triangle area formula: √3/4 * (s^2)
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So √3/4 * (25)
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I get: 25√3/4
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
dw:1347039793370:dw
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
But i cannot insert that in my work, i can only enter x√x
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
hmm, I'm getting something different. I'm going to doublecheck my work. In the meantime, if you forget the equilateral triangle formula, you can rederive it using (what else?) Pythagoras' theorem. dw:1347039924563:dw
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
But what use is PT, if all side's are equal?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
To solve for the height of the triangle, which you need for the general triangle area formula.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Okay.. So the height is 25? 25+25=25 50=25 25
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Wait.. I did that wrong.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
dw:1347040273270:dw
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
IF the sides are all 5, then AB is 2.5
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So how do i put 2.5 into PT?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
dw:1347040269678:dw \[(S/2)^2+h^2=S^2 \rightarrow h^2=S^2S^2/4 = 3S^2/4\]
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Half of 5 is (5/2). (5/2)^2 = 25/4. (tip: fractions are better than decimals when doing algebra)
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
I doublechecked. Your original formula and answer were correct.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
How could that be?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
How could what be?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
25√3/4 is the answer?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Yep. If wherever you are submitting these answers doesn't like it in fraction form, then convert 25/4 into a decimal.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Being 6.25?
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
Yes. 2.5^2 = 6.25 just like 25^2 = 625.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
But wait.. Something is wrong, because they want my answer as: x√x
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
And 6.25√3 is no good?
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Darn, there i go again I forgot we were only simplifying the 25/4
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I kept including the 25√3
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
I included the radical in the the division...
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
So its 25/4√3 Or 6.25√3
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Your Score: 100.0% Thanks Cliff.
 2 years ago

Dallasb22 Group TitleBest ResponseYou've already chosen the best response.0
Those 2 were the only ones I was having trouble with.
 2 years ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.1
My pleasure. They're all just puzzles. Keep looking until you find where all the pieces fit.
 2 years ago
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