Advertisements
Advertisements
प्रश्न
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
Advertisements
उत्तर
The perpendicular of a right triangle whose hypotenuse is h and base is b, is given by
`sqrt("h"^2 - "b"^2)`
The perpendicular of a right triangle whose hypotenuse is 15 and base is 9, is given by
`sqrt(15^2 - 9^2)`
= `sqrt(225 - 81)`
= `sqrt(144)`
= 12cm
We also know that, Area of a Triangle
= `(1)/(2)"b.h" "i.e." (1)/(2)("Base" xx "Height")`
Area of a Triangle with base
= 9cm and height
= perpendicular
= 12cm
⇒ `(1)/(2)"b.h"`
= `(1)/(2) xx 9 xx 12`
= 54cm2.
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.
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.
The given figure shows a right-angled triangle ABC and an equilateral triangle BCD. Find the area of the shaded portion.
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.
The base of a triangle field and its height are in the ratio 2:5. If the cost of cultivating the field at Rs.42 per sq. m is Rs.7560, find its base and height.
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.
Find the perimeter of An isosceles triangle with equal sides 10 cm each and third side is 7 cm
A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle
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.
