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 #88 #. What are the lengths of sides A and B?
Viewing C as the base and denoting the height as
the formula for the area of a triangle tell us that:
This implies that
Side A (or B) together with half the length of C and the height form a right-angled triangle (with A the hypotenuse).