Steven B. answered • 02/14/16

I love math, and love to teach it

Xenia K.

asked • 02/14/16I don't know how to go about this question :

An Equilateral triangle has perpendicular height h. A) find the length of each side, in terms of h B) without using your calculator, show that the area of the triangle is h^2/√3

Do I use Pythagoras? But that would be if the sides are length l : l^{2}=(1/2l)^{2}+h^{2}. I don't see a way to do that in terms of h...

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Steven B. answered • 02/14/16

I love math, and love to teach it

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Xenia K.

^{2}=(1/2 x)^{2}+h^{2}?^{2}=(1/2 x)^{2}+h^{2}_I take away (1/2 x)^{2}and solve it to 1/4 x^{2}^{2}- 1/4 x^{2}= h^{2 }_solving this^{2}=h^{2 }_I divide the right side by 3/4^{2}=4/3 h^{2 }_putting a root over this02/14/16