Question

A square and am equilateral triangle have equal perimeter. Of the diagonals of the square is 12 root2 cm, find the area of triangle​

Answer 1

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Let square has side a and triangle t

Given, 4a=3t⇒a= 3/5t

Diagonial of square = √2a

⇒√2a=12√2⇒a=12cm⇒t= 4/3×12=16cm

Area of equilateral triangle = 3/4t²

=√3/4 (256) 64√3