Question

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 6v2
cm, then find the area of triangle.​

Answer 1

Answer:

16√3m^2

Step-by-step explanation:

diagonal of square is 6√2 cm.

So it's side comes our to be 6cm( you can check it with help of trigonometry)

so, let the side of triangle be 'x'

Now, it is given that,

perimeter of square = perimeter of triangle

4 × 6 = 3a

4 × 6/ 3 = a

a = 4×2

a = 8

Now, area of a equilateral triangle is,

area = √3/4 × side^2

area = √3/4 × 8^2

area =√3/4 × 64

Area = 16√3m^2