Question

a square and an equilateral triangle have same perimeter the diagonal of the square is 12root2cm find area of triangle
a square and equilateral triangle have same perimeter the diagonal of the square is 12 root 2 find the area of triangle

Answer 1

Answer:

144 unit² and 64√3 unit²

Step-by-step explanation:

Perimeter of square = Perimeter  of Equilateral triangle

Diagonal of square = 12√2 = A√2

Where A is the side of square.

A = 12 units

Area of square = A² = 12² = 144 unit²

let the side of Triangle = a

Perimeter of square = Perimeter  of Equilateral triangle

4 × 12 = 3 × a

a = 16 unit

Area of equilateral  triangle = (√3÷4) a²

(√3÷4) 16×16

= 64√3 unit²