Question

The base of an isosceles triangle measures 32 cm. The ratio of the equal side to its base is 3:2. Find the area of the triangle.

Answer 1

724.07734 cm square

equal side : base = 3:2

equal side : base = x:32

x = 3*16

= 48

you can use pythagoras to find the height!

since its isosceles, you can divide the triangle in 2 halfs,

h^2 + 16^2 = 48^2

h^2 = 2304-256

= 2048

h = square root of 2048 = 45.25483

area = 1/2 * h * base

= 1/2 * 45.25483 * 32

= 724.07734 cm square