Question

17. Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10v2 cm, then find the area of equilateral triangle?
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Answer 1

Step-by-step explanation:

square and equilateral triangle equal perimeter.

diagonal of square = 10√2cm

area of triangle=?

side of square = 2(DC)²

= 2(10√2)²

(DC)²= 100×2/2

DC. = √100

DC= 10 CM

Perimeter of square = 4×10 = 40cm

perimeter of eq. triangle = 3a

a= 40/3

are off eq. triangle = √3/4a² = √3/4×(40/3)²

Hope this will help u! :)