## Outline Mathematics

Geometry

# Problem 14 from AMC 8 2007

The base of isosceles triangle ABC is 24 and its area is 60. Find the length of one of the congruent sides.

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Copyright © 1996-2018 Alexander BogomolnyThe base of isosceles triangle ABC is 24 and its area is 60. Find the length of one of the congruent sides.

The area of a triangle is half the product of a side by the altitude,median,angle,angle bisector,altitude to that side,side,distance,point,plane- A = h×b/2. From here h = 2A/b,2A×b,2A/b,2b/A,(b + A)/2. We are given that the area of the triangle is 60,56,60,48,24 and the base is 24,24,60,48,56. Substituting this into the formula we just found

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