# CBSE Class 10-Mathematics: Questions and Answers Chapter – 6 Triangles Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 20**:

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

**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

**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

**Answer**:

In

Similarity,

Adding (i) and (ii) , we get