Advertisements
Advertisements
प्रश्न
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
Advertisements
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
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.
If the difference between the sides of a right-angled triangle is 3 cm and its area is 54 cm2; find its perimeter.
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 perimeter of a triangle is 450 m and its side are in the ratio 12: 5: 13. Find the area of the triangle.
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.
The area of an equilateral triangle is `144sqrt3` cm2; find its perimeter.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
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.
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
Area of an isosceles triangle is 48 cm2. If the altitudes corresponding to the base of the triangle is 8 cm, find the perimeter of the triangle.
