Question

An square and an equilateral triangle have equel perimeters. if the diagonals of the square is 12√2 then area of the triangle is ?​

Answer 1

Answer:

Step-by-step explanation:

here is the answer

Answer 2

Step-by-step explanation:

the diagonal will bisect the square into two parts which are right angle

hence by Pythagoras theorem,

diagonal^2=2(side^2). (as sides of square are equal)

( 12√2)^2=. "

288/2=side ^2

√144=12=side

perimeter of square=4a=4×12=48

perimeter of triangle=3a

48/3=a

16=a

area of equilateral triangle=√3/4a^2

= √3/4×16×16

=64√3