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

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9 cm

10 cm

11 cm

12 cm

answer is B.

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Detailed Solution

It is given that the sides of right-angled triangle are

6 cm

and

8 cm

.
Then the length of the hypotenuse is,

a^{2} + b^{2} = c^{2}

{\Rightarrow 6}^{2} + 8^{2} = c^{2}

\Rightarrow 36 + 64 = c^{2}

{\Rightarrow c}^{2} = 100

\Rightarrow c = \sqrt{100}

\Rightarrow c = 10 cm

Hence, the length of the hypotenuse is 10cm.
Therefore, the correct option is 2.

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