Question

find the area of an equilateral triangle having the ratio length of a side equals 10 cm.

Answer 1

An equilateral triangle is a type of triangle in which all the three sides are equal and each interior angle measures 60°.

Information provided to us:
Each side of equilateral triangle = 10 cm

We know that area of an equilateral triangle is equal to (√3 / 4)*(side)^2.

Hence,

Area of the equilateral triangle = (√3 / 4) * (10)^2
=> Area of the equilateral triangle = (√3 / 4) * 100
=> Area of the equilateral triangle = √3 * 25
=> Area of the equilateral triangle = 25√3 sq. cm
=> Area of the equilateral triangle = 25 * 1.732
=> Area of the equilateral triangle = 43.301 sq. cm
=> Area of the equilateral triangle = 43.3 sq. cm(approx.)