Question

a square and an equilateral triangle have same perimeter. If the diagonal of the square is 6√2 cm . then find the area of the area of the triangle​

Answer 1

Answer:

16√3 cm²

Step-by-step explanation:

Given that perimeter of square = perimeter of equilateral triangle.

4a = 3a' .................(1)

Diagonal of square is 6√2 cm.

√2 a = 6√2

a = 6 cm { here, a is side of square }

Substitute value of a in equation (1)

→ 4(6) = 3a'

→ 24 = 3a'

→ 8 = a'

Therefore, the side of the equilateral triangle is 8 cm.

Area of equilateral triangle = √3/4 a²

= √3/4 (8)²

= √3/4 × 64

= 16√3 cm²

Hence, the area of the triangle is 16√3 cm².