Advertisements
Advertisements
प्रश्न
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.
उत्तर
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
संबंधित प्रश्न
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate:
(i) The area of ΔABC,
(ii) The length of the perpendicular from A to BC.
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 area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| ? | 8 m | 3 m | 17 m |
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 |
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.
A piece of string is 30 cm long. What will be the length of each side if the string is used to form an equilateral triangle?
