If the perimeter of an equilateral triangle is 60 cm, then what is its area? a. 200√2cm2 b. 100√2cm2 c. 100√3cm2 d. 200√3cm2
Question
If the perimeter of an equilateral triangle is 60 cm, then what is its area? a. 200√2cm2 b. 100√2cm2 c. 100√3cm2 d. 200√3cm2
Solution
The perimeter of an equilateral triangle is the sum of the lengths of all its sides. Given that the perimeter is 60 cm, and knowing that all sides of an equilateral triangle are equal, each side measures 60/3 = 20 cm.
The formula to calculate the area (A) of an equilateral triangle given the length of its side (a) is: A = (a² * √3) / 4.
Substituting the value of a (20 cm) into the formula, we get: A = (20² * √3) / 4 = 100√3 cm².
Therefore, the area of the equilateral triangle is 100√3 cm², which corresponds to option c.
Similar Questions
The perimeter of an equilateral triangle is 60 m. The area of the triangleis
If the perimeter of an equilateral triangle is 180 cm. Then its area will be:a. 900 cm2b. 900√3 cm2c. 300√3 cm2d. 600√3 cm2
.The area of an equilateral triangle is 2√3 cm 2 . Find its perimeter.
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm,find the area of the triangle.
The area of an equilateral triangle is ¼(√3a2) where "a" represents a side of the triangle. You are provided with the side "a". Find the area of the equilateral triangle.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.