Advertisements
Advertisements
Question
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
Advertisements
Solution
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
RELATED QUESTIONS
AD is altitude of an isosceles triangle ABC in which AB = AC = 30 cm and BC = 36 cm. A point O is marked on AD in such a way that ∠BOC = 90o. Find the area of quadrilateral ABOC.
Calculate the area and the height of an equilateral triangle whose perimeter is 60 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 :
10 cm, 24 cm, and 26 cm
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 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.
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.
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.
From one vertex of an equilateral triangle with side 40 cm, an equilateral triangle with 6 cm side is removed. What is the perimeter of the remaining portion?
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
