The area of an equilateral triangle ABC is 50cm(squared). Find AB.
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OpenStudy (anonymous):
Draw the graph and find the height of the triangle.
OpenStudy (anonymous):
what graph? this is MENSURATION>
OpenStudy (lgbasallote):
well...you know area of triangle is \[\frac {bh}2\]
then...you know that h is just b\(\small \sqrt 3\)
so you can rewrite this as
\[\huge A = \frac{b^2\sqrt 3}2\]
for an equilateral triangle
does that he;[?
OpenStudy (lgbasallote):
help*
OpenStudy (anonymous):
i will check. thanks for the effort
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OpenStudy (lgbasallote):
welcome
OpenStudy (anonymous):
wait no it doesnt...
OpenStudy (lgbasallote):
why so?
OpenStudy (anonymous):
i need all the sides
OpenStudy (anonymous):
they have the same length.
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OpenStudy (anonymous):
as epulateral all sides are same
OpenStudy (lgbasallote):
"all" the sides are equal... so if you can find b...you can find all sides
OpenStudy (lgbasallote):
so substitute A for 50 then solve for b
OpenStudy (lgbasallote):
got it?
OpenStudy (anonymous):
why h is (square root of 3) ?
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OpenStudy (lgbasallote):
ahh you were not familiar of that huh...
let me try and draw it
|dw:1350126516841:dw|
that's how equilateral triangle looks like yes?
OpenStudy (anonymous):
yes
OpenStudy (lgbasallote):
then... since h divides the base into two parts... it becomes like this
|dw:1350126595908:dw|
agree?