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Question

In $Δ$ ABC, $∠$ B is a right angle, AC = $16$ cm. D is the mid-point of AC. The length of DB is:

$10$ cm
$\sqrt{15}$ cm
$8$ cm
$7.5$ cm

A

10

cm

B

8

cm

C

\sqrt{15}

cm

D

7.5

cm

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Solution

Verified by Toppr

The correct option is C $8$ cm
DB is the radius of the circumcircle of the $Δ$ ACB.
Hence, =DA= DB
= $\frac{1}{2} A C = \frac{1}{2} \times 16 = 8 c m$

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