Question

The ratio of the area of a square to that of the square drawn on its diagonal is ?

Answer 1

Let the side of square be a
Area of square =a²
diagonal of a square = ✓2a(using pythagorus theorem)
area of square on diagonal=(✓2a)²=2a²
ratio=a²/2a²=1/2=1:2

Answer 2

let the sides of the sq be a
the using pgt we get the diagonal as
$\sqrt{2} a$
the ratio will be
$\frac{ {a}^{2} }{ 2{a}^{2} }$
then ratio =1/2
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