Question

how to find hypotenuse if area of right angled triangle is 30 sq cms​

Answer 1

Answer:

The hypotenuse Should be 13

Step-by-step explanation:

MAIN FORMULA - 1/2 ×B ×H

ACCORDING TO PYTHAGORAS THEOREM -

$c = \sqrt{a {}^{2} { + b {} }^{2} }$

SOLVING FOR A

A=

$= \frac{1}{2} a \sqrt{ {c }^{2} - a {}^{2} }$

Putting Values Area = 30

Leg = 5

$\frac{1}{2} 5 \sqrt{c {}^{2} - 25 } = 30$

$\sqrt{c {}^{2} - 25} = \frac{30 \times 2}{5} = 12$

${c}^{2} - 25 = 12 {}^{2} \: or \: squaring \: both \: side$

${c}^{2} = 144 + 25 = 169$

$c = \sqrt{169} = 13$

So, Hypotenuse is 13

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