Question

pls answer the third (3rd) question ​

Answer 1

$\huge\purple{ANSWER:}$

ACCORDING TO PYTHAGOREAN THEOREM :

THE SUM OF THE SQUARES OF THE LEGS IS EQUAL TO THE SQUARE OF THE HYPOTENUSE.

NOW,

BOTH THE LEGS ARE EQUAL SO LET IT BE x

SO THE SUM OF THE LEGS IS 2x

AND OUR EQUATION WOULD BE :

${2x}^{2} = 50 \: c {m}^{2}$

$</u></strong><strong><u>2</u></strong><strong><u> {x}^{2} = 50$

$\sqrt{</u></strong><strong><u>2</u></strong><strong><u> {x}^{2} } = \sqrt{50}$

$</u></strong><strong><u>\</u></strong><strong><u>s</u></strong><strong><u>q</u></strong><strong><u>r</u></strong><strong><u>t</u></strong><strong><u>{</u></strong><strong><u>2</u></strong><strong><u>}</u></strong><strong><u>x = \sqrt{50}$

$</u></strong><strong><u>\sqrt{2}</u></strong><strong><u>x = \sqrt{25 \times 2}$

$</u></strong><strong><u>\sqrt{2}</u></strong><strong><u>x = \sqrt{ {5}^{2} \times 2}$

$</u></strong><strong><u>\sqrt{2}</u></strong><strong><u>x = 5 \sqrt{2}$

$x = \frac{5 \sqrt{2} }{</u></strong><strong><u>\sqrt{2}</u></strong><strong><u>}$

$x = \frac{5 \sqrt{2} </u></strong><strong><u>\</u></strong><strong><u>t</u></strong><strong><u>i</u></strong><strong><u>m</u></strong><strong><u>e</u></strong><strong><u>s</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>s</u></strong><strong><u>q</u></strong><strong><u>r</u></strong><strong><u>t</u></strong><strong><u>{</u></strong><strong><u>2</u></strong><strong><u>}</u></strong><strong><u>}{\sqrt{2}</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>t</u></strong><strong><u>i</u></strong><strong><u>m</u></strong><strong><u>e</u></strong><strong><u>s</u></strong><strong><u> </u></strong><strong><u>\</u></strong><strong><u>s</u></strong><strong><u>q</u></strong><strong><u>r</u></strong><strong><u>t</u></strong><strong><u>{</u></strong><strong><u>2</u></strong><strong><u>}</u></strong><strong><u>}$

$x = \frac{</u></strong><strong><u>1</u></strong><strong><u>0</u></strong><strong><u>}{</u></strong><strong><u>2</u></strong><strong><u>}$

$x = </u></strong><strong><u>5</u></strong><strong><u>$

AND THAT'S OUR ANSWER!!!

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