Advertisements
Advertisements
प्रश्न
The area of an equilateral triangle is `144sqrt3` cm2; find its perimeter.
Advertisements
उत्तर
Let each side of an equilateral triangle = x cm
∴ Its area = `sqrt(3)/4 ("side")^2`
= `sqrt(3)/4 x^2 = 144sqrt(3)` (given)
⇒ `x^2 = 144sqrt(3) xx 4/sqrt(3)`
⇒ `x^2 = 144 xx 4 ⇒ x^2 = 576`
⇒ x = `sqrt(576)` = 24 cm.
⇒ Each side = 24 cm
Hence perimeter = 3(24) = 72 cm.
APPEARS IN
संबंधित प्रश्न
Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.
The perimeter of a triangle is 450 m and its side are in the ratio 12: 5: 13. Find the area of the triangle.
Find the area of a triangle, whose sides are :
18 mm, 24 mm and 30 mm
The area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.
The altitude and the base of a triangular field are in the ratio 6: 5. If its cost is ₹ 49,57,200 at the rate of ₹ 36,720 per hectare and 1 hectare = 10,000 sq. m, find (in metre) dimensions of the field.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
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.
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
A piece of wire is 36 cm long. What will be the length of each side if we form an equilateral triangle
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?
