Area of a right - angled triangle is $30 c m^{2} .$ If its smallest side is 5 cm, then its hypotenuse is

14 cm

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13 cm

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12 cm

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Solution

The correct option is B
13 cm
W know that, area of triangle $= \frac{1}{2} \times base (small side) \times Height 30 = \frac{1}{2} \times 5 c m \times height H e i g h t = (30 \times 2) / 5 H e i i g h t = \frac{60}{5} H e i g h t = 12 c m$

By the rule of pythagoras theorem, $H y p o t e n u s e^{2} = h e i g h t^{2} + b a s e^{2} H y p o t e n u s e^{2} = 144 + 25 H y p o t e n u s e^{2} = 144 + 25 H y p o t e n u s e^{2} = 169 H y p o t e n u s e^{2} = \sqrt{169} H y p o t e n u s e = 13 c m$

So, option b is correct.

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