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
ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate:
(i) The area of ΔABC,
(ii) The length of the perpendicular from A to BC.
The area of an equilateral triangle is 36`sqrt3` sq. cm. Find its perimeter.
Find the area of a triangle, whose sides are :
18 mm, 24 mm and 30 mm
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.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
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 table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| ? | 8 m | 3 m | 17 m |
Find the perimeter of A scalene triangle with sides 7 m, 8 m, 10 m
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?
