Advertisements
Advertisements
प्रश्न
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
उत्तर
Perimeter of triangle = a + b + c
36 = 2a + 16
2a = 36 - 16
2a = 20
a = `20/2`
a = 10
Here, It is given that,
a = equal sides = 10 cm
b = base = 16 cm
Area of is isoscles triangle = `"b"/4 sqrt(4"a"^2 - "b"^2)`
`= 16/4 sqrt(4 (10)^2 - (16)^2)`
`= 4 sqrt(4 xx 100 - 256)`
`= 4 sqrt(400 - 256)`
`= 4 sqrt144`
= `4 xx 12`
= 48 cm2
APPEARS IN
संबंधित प्रश्न
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.
Find the area of a triangle, whose sides are :
18 mm, 24 mm and 30 mm
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.
A field is in the shape of a quadrilateral ABCD in which side AB = 18 m, side AD = 24 m, side BC = 40m, DC = 50 m and angle A = 90°. Find the area of the field.
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
Find the perimeter of A scalene triangle with sides 7 m, 8 m, 10 m
Find the perimeter of An isosceles triangle with equal sides 10 cm each and third side is 7 cm
Find the perimeter of An equilateral triangle with side 6 cm
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?
In the given figure, all triangles are equilateral and AB = 8 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure?
