Mathematics
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OpenStudy (anonymous):
I need help please! with area of triangles
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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.
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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?
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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
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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?
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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?
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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
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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.
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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.
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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):
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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.