Advertisements
Advertisements
Question
Find the area of an equilateral triangle having each side x cm.
Advertisements
Solution
Area of an equilateral triangle, say A having each side a cm is given by
`A = sqrt(3)/4 a^2`
Area of the given equilateral triangle having each equal side equal to x cm is given by
a = x cm
`A = sqrt(3)/4 (x)^2`
`A= (sqrt(3)x^2)/4 cm^2`
APPEARS IN
RELATED QUESTIONS
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 kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see the given figure). Find the cost of polishing the tiles at the rate of 50p per cm2.

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.
If each side of a equilateral triangle is tripled then what is the percentage increase in the area of the triangle?
The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to the largest side is
If the length of a median of an equilateral triangle is x cm, then its area is
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 adjacent sides of a parallelogram measures 34 m, 20 m and the measure of the diagonal is 42 m. Find the area of parallelogram
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 ______.
