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 triangle and a parallelogram have the same base and the same area. If the sides of triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
Two parallel side of a trapezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trapezium.
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)
Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm, AD =9 cm, CD = l2cm, ∠ACB = 90° and AC=l5cm.
If the area of an isosceles right triangle is 8 cm2, what is the perimeter of the triangle?
A park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park
The area of an equilateral triangle with side `2sqrt(3)` cm is ______.
The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm2 is ______.
The area of the equilateral triangle is `20sqrt(3)` cm2 whose each side is 8 cm.
