Question

In a square one diagonals is 16 cm .find the side of the square

Answer 1

Answer:

$8 \sqrt{2} cm$

Step-by-step explanation:

We know that the diagonal of a square is $\sqrt{2} a$ where :

a is the side.

Given:

$\sqrt{2} a = 16 cm$

Squaring both sides:

$\implies 2 a^2 = 256 cm^2$

$\implies a^2 = \frac{256 cm^2}{2}$

$\implies a^2 = 128 cm^2$

$\implies a = \sqrt{128 cm^2}$

$\implies a=\sqrt{64 \times 2 } cm$

$\implies a = 8 \sqrt{2}cm$

The side of square is $\boxed{\huge{8\sqrt{2}cm}}}$

Hope it helps you

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