In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6 cm. Then, choose the correct option(s).

3 cm

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4 cm

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5 cm

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7 cm

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Solution

The correct options are
A
3 cm

B
4 cm

C
5 cm

AC = $\sqrt{8^{2} + 6^{2}}$ = $\sqrt{100}$ = 10 cm.

So, AM = MC = 5cm.

Since the mid point of the hypotenuse of a right triangle is equidistant from its vertices, so

BM = AM = MC = 5cm.

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Similar questions

In the given figure, $∠ A B C = 90^{\circ}$ and $M$ is the mid-point of $A C$ , $A B = 8 cm$ and $B C = 6 cm$ . Then, choose the correct option(s).

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median drawn from B to AC, AB = 8cm and BC = 6 cm. Then, choose the correct option(s).

△ A B C = 90^{o}

B M

A B = 8 c m

B C = 6 c m

B M

△ A B C

∠ B = 90

A B = 8 c m

B C = 6 c m

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

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