Advertisements
Advertisements
Question
The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.
Advertisements
Solution
Let base = 5x m
height = 3x m
Area of Δ = `1/2 "base" xx "height"`
∴ `1/2 xx 5x xx 3x = 67.5`
`x^2 = (67.5 xx 2)/15`
`x^2 = 4.5 xx 2`
`x^2 = 9.0`
`x = sqrt(9)`
x = 3
base = 5x = 5 x 3 = 15 m
height = 3x = 3 x 3 = 9 m
APPEARS IN
RELATED QUESTIONS
If the difference between the sides of a right-angled triangle is 3 cm and its area is 54 cm2; find its perimeter.
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find :
(i) area of the triangle ;
(ii) height of the triangle, corresponding to the largest side ;
(iii) height of the triangle, corresponding to the smallest side.
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.
The lengths of the sides of a triangle are in the ratio 4: 5 : 3 and its perimeter is 96 cm. Find its area.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| 6 cm | 5 cm | 2 cm | ? |
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle
Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
