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?
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