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Standard X

Mathematics

Pythagoras Theorem

In the given ...

Question

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6 cm. Then, length BM is equal to -

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 option is 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

Q. In the given figure,

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and

B C = 6 c m

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In the given figure, $∠ A B C = 90^{\circ}$ and $B M$ is a median drawn from $B$ to $A C, A B = 8 c m$ and $B C = 6 c m .$ Then, choose the correct option(s).

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and

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. The length of the median BM is

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In the given figure, ∠ABC = 90∘ and BM is a median, AB = 8cm and BC = 6 cm. Then, length BM is equal to -

The correct option is C 5 cm AC = √82+62 = √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.

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 8cm and BC = 6 cm. Then, length BM is equal to -

The correct option is 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.