Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
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
APPEARS IN
संबंधित प्रश्न
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle ?
A rhombus sheet, whose perimeter is 32 m and whose one diagonal is 10 m long, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting.
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 13 cm, 14 cm and 15 cm and the parallelogram stands on the base 14 cm, find the height of the parallelogram.
Find the areas of the given plot. (All measures are in metres.)
Determine whether the sets of points are collinear?
`(-1/2, 3), (-5, 6) and (-8, 8)`
A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied
Find the area of triangle AGF
The perimeter of an equilateral triangle is 30 cm. The area is
In the following figure, ∆ABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram DBCE of same area as that of ∆ABC is constructed. Find the height DF of the parallelogram.
