The cost of leveling the ground in the form of a triangle having the sides 51m, 37m and 20m at the rate of Rs 3 per m2 is Rs 918.

Question

Philoid · Accepted Answer

a = 51, b = 37, c = 20

s = (a + b + c)/2

⇒ s = (51 + 37 + 20)/2 = 108/2 = 54.

Area(Δ) = √s(s-a)(s-b)(s-c)

⇒ Area(Δ) = √54(54-51)(54-37)(54-20)

⇒ Area(Δ) = √54×3×17×34

⇒ Area(Δ) = 306m²

Cost of painting = Area(Δ)×Cost per m²

⇒ Cost of painting = 306×3 = Rs. 918

Hence, the statement is True.