Question

An equilateral triangle is inscribed in a circle of circumference equal to perimeter of a square with side 22 cm. Find its side. ​

Answer 1

Step-by-step explanation:

perimeter of square =4*22= 88

so circumference of circle =88cm

2πr= 88

2*(22/7)*r= 88

r = 14

so radius is 14cm

we know that radius of circumcenter = 2/3 *h

so r= side/√3

because we know that height of the equilateral triangle = √3/2 a

so r = a/√3

a= r*√3

a= 14*√3

a= 14√3

so side is 14√3