Question

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

पर्याय

• True

• False

Answer 1

This statement is True.

Explanation:

a = 51, b = 37, c = 20

`s = (a + b + c)/2`

⇒ `s = (51 + 37 + 20)/2 = 108/2 = 54`.

Area (Δ) = `sqrt(s(s - a)(s - b)(s - c))`

⇒ Area (Δ) = `sqrt(54(54 - 51)(54 - 37)(54 - 20))`

⇒ Area (Δ) = `sqrt(54 xx 3 xx 17 xx 34)`

⇒ Area (Δ) = 306 m²

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

⇒ Cost of painting = 306 × 3 = Rs. 918