CBSE Class 10-Mathematics: Questions and Answers Chapter – 6 Triangles Part 5

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Question 6:

PQR is a right triangle right angled at P and M is a point on QR such that PM QR. Show that .

Answer:

is a right triangle right angled at P and

PQR is a right triangle right angled at P and M

PQR is a Right Triangle Right Angled at P and M

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i.e.,

Question 7:

In the given figure, Prove that .

Prove that EF is parallel OQ

Prove That EF is Parallel OQ

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Answer:

In

In

From (i) and (ii), we get

From ,

Question 8:

In figure, , Find .

Answer:

Question 9:

In the given figure, ABC and AMP are two right-angled triangles, right angled at B and M respectively, prove that

(i)

(ii)

ABC and AMP are two right - angled Triangles

ABC and AMP Are Two Right - Angled Triangles

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Answer:

In and DAMP,

are equiangular

Question 10:

In the given figure, or , prove that and

Vertically opposite Angles

Vertically Opposite Angles

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Answer:

In and ,

i.e.

And

[Vertically opposite Angles]

and [Corresponding angles of similar ]