Question

A square and an equilateral triangle have equal perimeter. if the diagonal of the square is 24 root 2 cm then area of triangle is

Answer 1

Answer:

area of equilateral triangle=22.53

Step-by-step explanation:

let the side of square and equilateral triangle be "a and z" respectively.

diagonal of a square=24√2

√2a=24√2

2a=(24√2)²

2a=24²×2

a=24²

a=576cm

According to the question,

perimeter of square =perimeter of equilateral triangle

4a=3z

4×576=3z

4×192=z

z=768cm

Area of equilateral triangle=(√3/4)×z²

=(1.732/4)×768²

=22.53972m²

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