The area of a triangle with sides 21 cm, 24 cm and 27 cm is:

Given:

The three sides of the triangle are 21 cm, 24 cm, and 27 cm, respectively.

Calculation:

Let us assume that a, b, and c are the sides of the triangle.

⇒ Area of triangle = √{s(s - a) (s - b) (s - c)}

⇒ s = (a + b + c)/2 = (21 + 24 + 27)/2 = 36 cm

⇒ √{36 × (36 - 21) × (36 - 24) × (36 - 27)}

⇒ √(36 × 15 × 12 × 9) 

⇒ √(6² × 3 × 5 × 3 × 4 × 3²) 

⇒ (6 × 3 × 3 × 2)√5 

⇒ The area of triangle = 108√5 cm2

∴ The required result will be 108√5.