Question

one link of the right angle triangle is 8 centimetre its area is 24 square metre how long is it hypotenuse​

Answer 1

$\huge\mathfrak\red{Answer~:}$
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➣ We know that area
of triangle :-

$= \frac{1}{2} \times base \times height$

➣ Here we have area is 24 cm^2 and l = 8 cm.

$24 = \frac{1}{2} \times 8 \times h \\ \\ \frac{24 \times 2}{8} = h \\ \\ h = 6 cm$

➣ We now that, in right
angle triangle

${hypotenus}^{2}={l}^{2}+{b}^{2}$

${(hypotenus)}^{2} = {(8)}^{2} + {(6)}^{2} \\ \\ {(hypotenus)}^{2} = 100 \\ \\ hypotenus = \sqrt{100} \\ \\ hypotenus = 10 \: cm$

${\large\bold\color{Red}{Answer~is~ 10~cm~. }}$

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${\large\bold\color{Red}{Thank~you }}$