Question

The perimeter of an equilateral triangle is 12√3 cm. Find : (i) the side of the triangle. (ii) area of the triangle. (iii) height of the triangle (iv) ratio of perimeter to area. (√3 = 1.7)​

Answer 1

Answer:

Height of an equilateral triangle =6cm

Let x be a side of triangle.

Height of the equilateral triangle =23(side)=23x.

6=23x

x=312

x=3123=6.92cm

Now,

Area of a triangle =43(side)2=43×6.92×6.92=20.76cm2