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
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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
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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
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Answer:
In
Similarity,
Adding (i) and (ii), we get