Question

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

Answer 1

Answer:

If the diagonal of the square is 12√2 cm , then area of the triangle is: 24√2 cm2 (b) 24√3 cm2 48√3 cm2 (d) 64√3 cm2.

Answer 2

Let square has side a and triangle t
Given, 4a=3t⇒a=
4
3
​
t Diagonial of square =
2
​
a
⇒
2
​
a=12
2
​
⇒a=12cm⇒t=
3
4
​
×12=16cm
Area of equilateral triangle =
4
3
​

​
t
2
=
4
3
​

​
(256)=64
3
​

⇒(D)







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