Advertisements
Advertisements
प्रश्न
The base and the height of a triangle are in the ratio 4: 5. If the area of the triangle is 40 m2; find its base and height.
Advertisements
उत्तर
Let the base of ∆ = 4x m
and height of ∆ = 5x m
area of ∆ = 40 m2
∵ `1/2 "base" xx "height" = "area of" Delta`
`1/2 xx 4x xx 5x = 40`
`10x^2 = 40`
`x^2 = 4`
x = `sqrt(4)`
x = 2
base = 4x = `4 xx 2 = 8` m
height = 5x = `5 xx 2 = 10` m
∴ 8 m; 10 m
APPEARS IN
संबंधित प्रश्न
Find the area of a triangle whose sides are 18 cm, 24 cm, and 30 cm. Also, find the length of altitude corresponding to the largest side of the triangle.
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
Find the area and the perimeter of quadrilateral ABCD, given below; if AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.
Find the area of a triangle, whose sides are :
18 mm, 24 mm and 30 mm
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
The cost of fencing a triangular field at the rate of Rs.15 per m is Rs.900. If the lengths of the triangle are in the ratio 3:4:5, find the area of the triangle and the cost of cultivating it at Rs.48 per kg sq.m.
Find the area of a triangle with a base 12cm and a height equal to the width of a rectangle having area of 96cm2 and a length of 12cm.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| 11 feet | ? | 9 feet | 28 feet |
