Question

8) If the perimeter of an equilateral triangle is 180 cm. Then its area will be
(a) 900 sq.cm (b) 900V3 sq.cm (c) 600V3 sq.cm​

Answer 1

Answer:

8) If the perimeter of an equilateral triangle is 180 cm. Then its area will be

Answer (a) 900 sq.cm

Answer 2

Answer: (b) 900√3 sq.cm

Step-by-step explanation:

Perimeter of an equilateral triangle = 180

Since all sides are equal the side of a triangle = 180/3 = 60cm

Area of equilateral triangle = $\frac{\sqrt{3} }{4} s^{2}$ where s is the side

So put the value of s which is 60cm. We get,

$\frac{\sqrt{3} }{4}$ × 60 × 60 = $\sqrt{3}$ × 15 x 60 = 900√3 sq.cm