Question

If the perimeter of equilateral triangle is 153 cm.Find the area of equilateral triangle.
1. 34√3/8 sq.cm
2. (2601√3/4) sq.cm
3. (112√3/8) sq.cm
4. (119√3/4) sq.cm

Answer 1

Correct Answer - Option 2 : (2601√3/4) sq.cm

Given

Perimeter of triangle = 153 cm

Formula used

Area of equilateral triangle = √3 (side)²/4

Calculation

Side of equilateral triangle = 153/3

⇒  51

Area of equilateral triangle = √3(51)²/4

⇒  2601√3/4 sq.cm

∴ Area of equilateral triangle is 2601√3/4 sq.cm