Question

In a rectangular field of dimensions50m *30m a triangular park is contructed . if the dimensions of the park is 14 m 15 m and 13m find the area

Answer 1

Here we need the area of the triangle only. Since the triangle is scalene, we can find the area of the triangle as given below.

Area of the triangle is

 

Sqrt (s * (s-a) * (s-b) * (s-c)), where s = semi-perimeter of the triangle.

 

S = (13+14+15)/2 = 42/2 = 21m

 

Thus, area = sqrt (21* (21-13) * (21-14) * (21-15)

= sqrt (21 * 8 * 7 * 6) = sqrt (7056) = 84 sq. m.