Advertisements
Advertisements
प्रश्न
The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm2 is ______.
विकल्प
8 cm
36 cm
4 cm
6 cm
Advertisements
उत्तर
The length of each side of an equilateral triangle having an area of `9sqrt(3)`cm2 is 6 cm.
Explanation:
Given: Area of an equilateral triangle = `9sqrt(3)` cm2
Area of an equilateral triangle = `sqrt(3)/4` × (Side)2
`sqrt(3)/4` × (Side)2 = `9sqrt(3)`
(Side)2 = 9 × 4
Side = `sqrt(9 xx 4)`
Side = 3 × 2
Side = 6 cm
Therefore, the length of an equilateral triangle is 6 cm.
APPEARS IN
संबंधित प्रश्न
Radha made a picture of an aeroplane with coloured papers as shown in the given figure. Find the total area of the paper used.
A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for the umbrella?
A park, in the shape of a quadrilateral ABCD, has ∠C = 900, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m How much area does it occupy?
Find the area of a quadrilateral ABCD in which AD = 24 cm, ∠BAD = 90° and BCD forms an equilateral triangle whose each side is equal to 26 cm. (Take √3 = 1.73)
If each side of a equilateral triangle is tripled then what is the percentage increase in the area of the triangle?
The base of an isosceles right triangle is 30 cm. Its area is
The sides of a triangle are 7 cm, 9 cm and 14 cm. Its area is
If every side of a triangle is doubled, then increase in the area of the triangle is
Find the area of a quadrilateral ABCD whose sides are AB = 13 cm, BC = 12 cm, CD = 9 cm, AD = 14 cm and diagonal BD = 15 cm
