In a right-angled triangle the lengths of base and perpendicular are 6 cm and 8 cm.What is the length of the hypotenuse?

9 cm

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10 cm

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11 cm

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12 cm

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Solution

The correct option is D 10 cm
The sides of right angled triangle are $6, 8 c m$

The hypotenuse is given as

$a^{2} + b^{2} = c^{2} 6^{2} + 8^{2} = c^{2} 36 + 64 = c^{2} c^{2} = 100 c = \sqrt{100} c = 10 c m$

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