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Mathematics 16 Online
OpenStudy (anonymous):

I need help please! with area of triangles

OpenStudy (anonymous):

im bad at geometry!

OpenStudy (anonymous):

1/2 x Breadth x Height

OpenStudy (anonymous):

\[Area_{\Delta} = \frac{1}{2}Base \times Height\]

OpenStudy (anonymous):

i know. but i need help solving a question.!

OpenStudy (anonymous):

im sorry its base.

OpenStudy (anonymous):

post your question here!

OpenStudy (anonymous):

Breadth is a decent word for it

OpenStudy (anonymous):

ok hold on.

OpenStudy (anonymous):

use 1.7 as the value of square root 3. what is the area of equalateral triangle abc in sq. in

OpenStudy (anonymous):

what are the lengths of the sides of the triangle?

OpenStudy (anonymous):

here ill send a picture.

OpenStudy (anonymous):

OpenStudy (anonymous):

Ok, so what is the length of the base?

OpenStudy (anonymous):

I don't know..

OpenStudy (anonymous):

its equilateral

OpenStudy (anonymous):

4?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Ok.

OpenStudy (anonymous):

so now we need the height (the length of the blue line through the middle)

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

pythagoras theorem

OpenStudy (anonymous):

Well, we have 2 right triangles described in the middle of that equalateral triangle.

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

\[2^{2} + x ^{2} = 4^{?}\]

OpenStudy (anonymous):

so the length of the hypotenuse of either of them is 4. and one leg is 2 (half of 4). What is the length of the other leg?

OpenStudy (anonymous):

its 2?

OpenStudy (anonymous):

\[x = \sqrt{4^{2}-2^{?}}\]

OpenStudy (anonymous):

which is sqrt of (16 - 4)

OpenStudy (anonymous):

which is sqrt 12.

OpenStudy (anonymous):

since sqrt 3 is given by 1.7

OpenStudy (anonymous):

yes,

OpenStudy (anonymous):

sqrt 12 = sqrt(4x3)

OpenStudy (anonymous):

sqrt(4x3) = 2x(sqrt3)

OpenStudy (anonymous):

which is 2x1.7 = 3.4, therefore the length is 3.4 and the base 4.

OpenStudy (anonymous):

using the formula 1/2 b h = 0.5 x 3.4 x 4.

OpenStudy (anonymous):

the answer is 6.8 inches

OpenStudy (anonymous):

are u sure

OpenStudy (anonymous):

this means you don't understand how it's done!

OpenStudy (anonymous):

the more important question is are YOU sure.

OpenStudy (anonymous):

Because if you aren't sure, then you have no way to know if holy did it right.

OpenStudy (anonymous):

yes.

OpenStudy (anonymous):

NO I UNDERSTAND! :) now.

OpenStudy (anonymous):

can u guys help me with one more like that?

OpenStudy (anonymous):

?

OpenStudy (anonymous):

OpenStudy (anonymous):

its the same question as the previous. if you understood you should be able to do this.

OpenStudy (anonymous):

since its an equilateral triangle. use the formula to get the length of the triangle.

OpenStudy (anonymous):

using the formula \[a ^{2} + b ^{2} = c ^{2}\]

OpenStudy (anonymous):

you can find out what is the height/length of the triangle.

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