In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 6 cm and BC = 8 cm. Then, which of the following are true?

MC = 5 cm.

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AM = 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 = 5 cm.

B
AM = 5 cm.

In a right-angled triangle ABC,

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

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

Since median divides the sides into two equal parts AM = MC = 5 cm.

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Q. In the given figure,

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and

B M

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A B = 8 c m

and

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. Then, length

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is equal to:

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In the given figure, ∠ABC = 90∘ and BM is a median, AB = 6 cm and BC = 8 cm. Then, which of the following are true?

The correct options are A MC = 5 cm. B AM = 5 cm. In a right-angled triangle ABC, AC2=AB2+BC2 AC=√82+62 = √100 = 10 cm. Since median divides the sides into two equal parts AM = MC = 5 cm.

In the given figure, ∠ABC = $90^{\circ}$ and BM is a median, AB = 6 cm and BC = 8 cm. Then, which of the following are true?

The correct options are
A
MC = 5 cm.

B
AM = 5 cm.

In a right-angled triangle ABC,

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

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

Since median divides the sides into two equal parts AM = MC = 5 cm.