In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 4 cm and BC = 3 cm. Then, choose the correct option(s).

MC = 2.5 cm.

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AM = 2.5 cm.

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MB = 5cm.

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AC = 5cm.

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Solution

The correct options are
A
MC = 2.5 cm.

B
AM = 2.5 cm.

D
AC = 5cm.

$A C = \sqrt{{A B}^{2} + {B C}^{2}}$

$A C = \sqrt{4^{2} + 3^{2}}$ = $\sqrt{25} = 5 c m .$

Since median divides the side in two parts AM = MC

So, AM = MC = 2.5 cm.

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