Question

the length of two sides of a right triangle are equal.The square of the hypotenuse is 800 cm. find the length of the each side.

Answer 1

$given \: that \: length \: of \: two \: sides \: of \: right \: angled \: triangle \: are \: equal \\ let \: the \: length \: of \: side \: be \: x \\ {hypotenuse}^{2} = 800cm \\ {x}^{2} + {x}^{2} = 800 \\ 2 {x}^{2} = 800 \\ {x}^{2} = \frac{800}{2} \\ {x}^{2} = 400 \\ x = \sqrt{400} \\ x= 20cm \\ hence \: length \: of \: each \: side \: is \: 20cm$

Answer 2

Step-by-step explanation:

$\begin{lgathered}given \: that \: length \: of \: two \: sides \: of \: right \: angled \: triangle \: are \: equal \\ let \: the \: length \: of \: side \: be \: x \\ {hypotenuse}^{2} = 800cm \\ {x}^{2} + {x}^{2} = 800 \\ 2 {x}^{2} = 800 \\ {x}^{2} = \frac{800}{2} \\ {x}^{2} = 400 \\ x = \sqrt{400} \\ x= 20cm \\ hence \: length \: of \: each \: side \: is \: 20cm\end{lgathered} </p><p>giventhatlengthoftwosidesofrightangledtriangleareequal</p><p>letthelengthofsidebex</p><p>hypotenuse </p><p>2</p><p> =800cm</p><p>x </p><p>2</p><p> +x </p><p>2</p><p> =800</p><p>2x </p><p>2=800</p><p>{x}^{2} = 2×800</p><p>{x}^{2} =400</p><p>x= \sqrt{400} </p><p>x=20cm</p><p>Hence\:length\:of\:each\:sideis\:20cm$