Question

Find the area of the square whose sides are 5cm and diagonal is 10cm

Answer 1

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Area of square :-

$= {(l)}^{2} \\ \\ = {(5)}^{2} \\ \\ = 25 { \: cm}^{2}$

Area of square :-

We know that side of square are equal and each angle is 90°.

${x}^{2} + {x}^{2} = 100 \\ \\ 2 {x}^{2} = 100 \\ \\ {x}^{2} = 50 \\ \\ x = \sqrt{50} \: cm$

Area of square :)

$= {(l)}^{2} \\ \\ = {( \sqrt{50} )}^{2} \\ \\ = 50 { \: cm}^{2}$

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