# An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #8 # and the triangle has an area of #64 #. What are the lengths of sides A and B?

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Mar 8, 2018

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Let

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Mar 8, 2018

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Side

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A median if triangle divides it in 2 triangles of equal areas. And if it is isosceles triangle the median is perpendicular bisector.

Half base = c / 2 = 8 / 2 = 4

Area of triangle = 64 sq units

Area of half triangle = 32 sq units

1/2 * 4 * h = 32

By using Pythagoras theorem

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