Question

The length of diagonal of a square 17 √2 cm what is the length of its side​

Answer 1

Answer: $17 cm$

Step-by-step explanation: The relationship between diagonal and the side of the square is given by the equation:

$diagonal^{2} = side^{2} + side^{2}\\\\diagonal^{2} = 2 side^{2} \\\\diagonal = \sqrt{2} (side)$

Therefore, from the above relation the side of the square whose diagonal is $17\sqrt{2}$ is:

$side= \frac{diagonal}{\sqrt{2} } \\\\side =\frac{17\sqrt{2} }{\sqrt{2} } \\\\side = 17 cm$