Question

Find the area of a triangle whose sides are 20cm,21cm, and 13cm.Find the length of the altitude corresponding to the longest side.​

Answer 1

The area of the triangle calculated using Heron's formula is 126 cm^2.

Let long side be the base. Long side is 21 cm.

126 = 1/2 x 21 x h

126/21 = h/2

6 = h/2

h = 12 cm