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Area= 1/2ap

I draw an auxiliary triangle off of the radius, the radius being the hypotenuse

By 3 inch radius, do you mean that it is inscribed in a circle of radius 3 inches?

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|dw:1348254489061:dw|

The apothem is half of the radius

|dw:1348254528658:dw| So it looks like both are drawings are similar?

So its 1.5

I multiply 1.5 times √3 to get the long side

Than i multiply that answer "3√3" by 2 to get the side of the big triangle

I multiply that by 3 to get the perimeter. So i have the perimeter and the apothem.

The answer i got the first time is: 6 3/4√3 but they told me its wrong.

height = 1.5 x apothem = 1.5 x (r/2) = 3r/4.

I don't need the height to find the area though.

All i need is the apothem and the perimeter

Ok, well i'm only in Geometry.. So i'm not suppose to be doing trig

*Well i don't know any

Ok, then I'll stop with that approach.

Lol, if it's fairly easy, I don't mind learning it

It must be easier than the book's method because everyone I talk to on here starts using trig

I'll explain the methodology and you can do the work. It won't be that hard, really.

I got most of my questions right, but this one i got wrong and i'm not sure why.

We'll use apothem and perimeter and derive some cool measurements from them.

Groovy

r= radius?

9/4 is the height?

yes.

Ok.

|dw:1348255695035:dw|

I forgot to put a letter at the top, call it c and call the, here, I'll draw again

@tcarroll010 , has given you the correct diagram, just name the angles and measures of sides

|dw:1348255924927:dw| There.

|dw:1348255963318:dw|

Sorry, I did ob wrong, but you can do it. It's 2/3 of oa.

ob is 2/3 of ac.

Ob is 2/3 of 3/4?

I don't follow.

2/3 of 9/4 so its 3/2

1.5

ob is 3/2 oa is 3/4, so you can get ab.

ab will be your base. ac your height. Then you can easily get area of triangle.

Ab being 1.5√3

ac: 3

ac is 9/2 or (4 and 1/2)

oa is apothem which is 1/2 of r, so add 3 (which is oc) to 1 and 1/2 which is oa. so ac is 9/2

Ahhh

ob = oc = 3. So, you have a right triangle where you can figure out ab. ab^2 + oa^2 = ob^2

Once you get ab, it's a piece of cake.

Are you all set now?

I gotta go. I hope you are all set.

No.. Lol, ab^2 + 3/4^2 =3^2?

I just got back to my computer after a half hour. You don't happen to still be there are you?

Sadly, i am.

OK

oa= 3/2 right?

yes

Are you having trouble with the square root and getting ab? Is that the hangup?

I don't think so, let me work out your equation above ^^

OK, so i got: √6.75
So √6.75 times 4.5 = area?
√6.75 = ab
4.5 = ac

OKay.

You should be able to get to that last number with what should be your upcoming and last step.

So...
27√3
------
4
???

\[27√3\div4\]

yes, but more importantly, do you see the flow of the steps? That's the important thing.

I can't carry that out?

Decimal-wise, it can be truncated to 11.69134.

Oh wait sorry,
27√3/4 is the area!!
Okay

yes, and area is ac x ab.

I put the answer as: 27/4√3

I'll let you know if they accept it in 5 minutes.

Not 27/4√3. It's \[27\sqrt{3}/4\]

The order of those multiplicands is important.

Ok

Correct Score: 100
Thank you!!

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