The base of an isosceles triangle is 4x cm long.The altitude to the base is 6cm long.Find the length of a leg of the triangle.

Answer 1

The leg will be the hypotenuse of a right-angled triangle with base 2x and height 6

H^2 = 4x^2 + 36
H = √(4x^2 + 36)
= 2√(x^2 + 9)