Question

a square and an equilateral triangle have equal perimeter if the diagonal of the square is 12 route 2 cm , then ara of the triangle is​

Answer 1

Answer:

64√3 cm

Step-by-step explanation:

Diagonal of square d= 12√2 cm

area of square= 1/2 * d²

= 0.5 * (12√2)²

= 144 cm²

side*side= area

side=√area

=√144

= 12 cm

perimeter of square = 4 * side

= 4 * 12

= 48 cm

= perimeter of equilateral triangle

= 3 * equal sides

48 = 3 * equal sides

equal sides = 48/3 = 16 cm

are of an equilateral triangle= ✓3/4 side²

= √3/4*256

= 64√3 cm