The sides of an isosceles triangle are equal: 3.2dm, 20cm and 20cm.

The sides of an isosceles triangle are equal: 3.2dm, 20cm and 20cm. Find the area of this triangle and the height to the side.

AB = BC = 20 (cm) – sides of the triangle
AC = 3.2 (dm) -base
3.2 dm = 32 cm
The height in an isosceles triangle is the median.
Base 32 cm / 2 = 16 (cm)
h = √ (20 * 20) – (16 * 16) = √144 = 12
S-area of a triangle
S = 0.5 * a * h
S = 0.5 * 32 * 12 = 192 cm2
h1-height drawn to the side
h1 = (2 * S) / 20
h1 = 2 * 192/20 = 19.2 cm