AD is the perpendicular bisector of BC and BC = 10 cm. Find BD.

5 cm

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2 cm

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7 cm

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None of the above

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Solution

The correct option is A 5 cm
Given : $B C = 10$ cm
$∵ A D$ is the perpendicular bisector of $B C$ .
$⟹ A D$ divides side $B C$ into two equal parts.
$⟹ B D = D C = \frac{B C}{2}$
$⟹ B D = \frac{10}{2} = 5$ cm
Hence, $B D = 5$ cm.

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