Question

11)A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, the area of the triangle is
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Answer 1

let square has side a and triangle it given , = 4a = 3t

= a = 3/4 t diagonial of square

= √2a

= √ 2a = 12√2

= a = 12 cm = t = 4/3 × 12 = 16 cm

area of eaqulateral triangle

= √3/ 4 t2

= √3/4 (256)=64 √3

OK