Classify the triangle by its angles based on the side lengths 4.2, 6.4, and 7.6

- anonymous

Classify the triangle by its angles based on the side lengths 4.2, 6.4, and 7.6

- jamiebookeater

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- anonymous

Acute
Right
Scalene
Obtuse

- anonymous

scalen since the sides are not equal and we dont know the angles to determine if it were obtuse or acute

- anonymous

Let "c" be the longest side on each set of three numbers.
If c^2 = a^2+b^2, the triangle is right
If c^2 > a^2 + b^2, the triangle is obtuse
If c^2 < a^2 + b^2, the triangle is acute.

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## More answers

- anonymous

- anonymous

So what is the longest side?

- anonymous

It's 7.6, right?

- anonymous

Yeah

- anonymous

What is 4.2^2?

- anonymous

What is 6.4^2?

- anonymous

What is 7.6^2?

- anonymous

my bad i read the question wrong lol

- anonymous

17.6, 40.9, and 57.7

- anonymous

It's good haha

- anonymous

a=4.2^2=17.64
b=6.4^2=40.96
c=7.6^2=57.76
Add A and B.

- anonymous

After you find the sum of A and B, compare it to C.

- anonymous

58.6

- anonymous

Is 58.6 equal to C, which is 57.76?

- anonymous

No

- anonymous

Then what is it? Is is more than C or less than C?

- anonymous

wouldnt u use sohcahtoa

- anonymous

to find the angles

- anonymous

Just what you said @joquez14 , you only use sohcahtoa to find the angles. Look up the question again. What is the given?

- anonymous

Side lengths, right? So you use the Pythagorean theorem. This is like the easiest lesson in Geometry.

- anonymous

this question has me totally confused im thinking u had to find the angles to classify it

- Sepeario

another way would've been to use the law of sines to work out the angles.

- anonymous

@NICK702222 you still there?

- anonymous

Yeah

- Sepeario

so @joquez14 if you want to evaluate the angles you can also do that.

- anonymous

I'm super confused

- anonymous

Just answer my question. :)

- anonymous

Is the sum of A and B greater than, less than, or equal to C?

- anonymous

is sine not apart of sohcahtoa

- anonymous

@Sepeario Just trying to help her find the easiest solution. :)

- anonymous

Sine, in fact, is part of the SohCahToa. S stands for Sine.

- anonymous

thats wat i thought so i wasnt completly wrong then

- anonymous

Is 58.6 equal to 57.7?
Is 58.6 more than 57.7?
Is 58.6 less than 57.7?
@NICK702222

- anonymous

Nope

- anonymous

Obtuse?

- anonymous

lol nope thts hilarious

- anonymous

No no wait

- anonymous

If c=sum, the triangle is right
If c>sum, the triangle is obtuse
If c

- anonymous

You're almost there. :)

- anonymous

First use the distance formula to find the sides. After using the distance formula, you can use Cosine Law to find the angles. But for this problem, one just needs to use the distance formula to find the sides and then graph it and they they tell what type of triangle and to check if it is a 90 or not they can use \( a^2+b^2=^c \) but one can also use this to tell for the other too, but you might be able just to eye it to tell.

- anonymous

If 57.7=58.6, the triangle is right
If 57.7>58.6, the triangle is obtuse
If 57.7<58.6, the triangle is acute.

- anonymous

Did you get it?

- anonymous

So it's acute

- anonymous

Got it right! I'd really appreciate it if you would give me a medal. :)

- anonymous

Thanks for the help

- anonymous

You're welcome!

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