Advertisements
Advertisements
प्रश्न
Find the area of the right-angled triangle with a hypotenuse of 40 cm and one of the other two sides of 24 cm.
Advertisements
उत्तर

by applying Pythagoras' theorem,
H2 = P2 + B2
402 = P2 + 242
P2 = 402 - 242
= (40 - 24) (40 + 24)
= 16 × 64 = 1024 cm2
P = `sqrt1024 = 32` cm
A = `1/2 xx "b" xx "h"`
= `1/2 xx 24 xx 32`
= `12 xx 32`
= 384 cm2
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.
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
The sides of a triangular field are in the ratio 5: 3: 4 and its perimeter is 180 m. Find:
- its area.
- the altitude of the triangle corresponding to its largest side.
- the cost of leveling the field at the rate of Rs. 10 per square meter.
Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm 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.
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
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.
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
The perimeter of a triangle is 28 cm. One of it’s sides is 8 cm. Write all the sides of the possible isosceles triangles with these measurements.
