Question

perimeter of an equilateral triangle is 60m . the area of the triangle is. a). 10 root 3 metre square b). 15 root 3 metre square c). 20 root 3 metre square d). hundred root 3 metre square​

Answer 1

Answer:

option D

Step-by-step explanation:

Perimeter of triangle is 60m

Let the side of equilateral triangle be x

Therefore

x + x + x = 60

3x = 60

x = 20m

Side of equilateral triangle is 20m

Area of equilateral triangle

$\frac{ \sqrt{3} }{4} \times {side}^{2}$

$\frac{ \sqrt{3} }{4} \times 20 \times 20$

$100 \sqrt{3} \: {m}^{2}$