Question

If the perimeter of equiletral triangle is 180 cm , then find its area

Answer 1

Given ,

• The perimeter of equilateral Δ is 180 cm

We know that , the perimeter of equilateral triangle is given by

$\boxed{ \sf{Perimeter = 3 × side }}$

Thus ,

180 = 3 × side

side = 180/3

side = 60 cm

Now , the area of equilateral triangle is given by

$\boxed{ \sf{Area = \frac{ \sqrt{3} }{4} \times {(a)}^{2} } }$

Thus ,

Area = √3/4 × (60)²

Area = √3/4 × 3600

Area = √3 × 900

Area = 1.732 × 900

Area = 1558.8 cm²

The area of equilateral Δ is 1558.8 cm²