Calculate the area of the triangle whose sides are 18cm, 24cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.
Given,
a = 18 cm
b = 24 cm
c = 30 cm
Therefore,
s = 
= 36
We know that,
Area = 
= 
= 
= 
= 6 × 6 × 3 × 2
= 216 cm2
Smallest side = a = 18 cm
Let, h be the height corresponding to the smallest side of the triangle
Therefore,
Area of triangle = 
216 = 
18 × h = 216 × 2
h = 
= 24 cm
6