Question

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 `9` and the triangle has an area of `45`. What are the lengths of sides A and B?

Answer 1

`color(blue)("Sides " a = b = 10.97 " units"`

Explanation:

`c = 9, Area = 45, " To find sides " a, b`

`A_t = (1/2) c h, " where " h " is the height"`


`h = (2 * 45) / 9 = 10`

`a = b = sqrt((c/2)^2 + h^2) = sqrt(4.5^2 + 10^2) = 10.97`