# 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

**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