What is the length of the diagonal of a square whose perimeter is equa...
Perimeter of an equilateral triangle
= 4 + 4 + 4 = 12 cm

Perimeter of square = 12 cm ⇒ 4 × side = 12 ⇒ Side = 3 cm.
∴ Length of diagonal =

View all questions of this testWhat is the length of the diagonal of a square whose perimeter is equa...
As per the question,
Perimeter of Equilateral ∆ = perimeter of that square
so, 3×4 = "
12 = perimeter of the square
and then side will also be 3cm
Now , In the figure of square
you will see the formation of right angled ∆
so, at there you have to apply the formula of Pythagoras theorem i. e, diagonal^2(hypotenuse) = side^2(altitude) +
side^2(base)
d^2= 3^2 + 3^2
d^2= 9+9
d= √18
then, d= approx 4.24 cm____
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What is the length of the diagonal of a square whose perimeter is equa...
Perimeter of an equilateral triangle
= 4 + 4 + 4 = 12 cm

Perimeter of square = 12 cm ⇒ 4 × side = 12 ⇒ Side = 3 cm.
∴ Length of diagonal =
