CBSE Class 10-Mathematics: Questions and Answers Chapter –6 Triangles Part 8

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Question 20:

In and is a point on side , such that . Prove that

Marks-2-Che-6-Que-20-Prove that BD=BC

Marks-2-Che-6-Que-20-Prove That BD=BC

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Answer:

Given: A in which is a point on BC

To prove:

Proof: [given]

In

3 Mark Questions

Question 1:

In the given figure, and prove that

Prove that PQS and TQS

Prove That PQS and TQS

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Answer:

Since

Since

[In sides opposites to opposite angles are equal]

Now in

From (iii),

And

[By S.A.S. Rule of similarity]

Question 2:

In the given figure, and are each perpendicular to . Prove that

Marks-3-Che-6-Que-2- the given figure, PA,QB

Marks-3-Che-6-Que-2- the Given Figure, PA,QB

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Answer:

In

Similarity,

Adding (i) and (ii), we get