# CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 15 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 16**:

In the given figure, and , show that

**Answer**:

Given:

Proof: As

PQ = PR … . (i)

[side opposite to equal angles are equal]

Also

In and TQR, we have

Also

**Question 17**:

Given a triangle ABC. O is any point inside the triangle are points on and , such that and , show that .

**Answer**:

Given: A O is a point inside and are points on OA, OB and OC respectively such that and and

To show:

Proof: In

In

From (i) and (ii) , we get

Now in

**Question 18**:

is a right triangle right angled at Q. ? If , show that

**Answer**:

Given: is a right Triangle, right-angled at

Also

To prove:

Proof: In right-angled triangle right angled at .

Also

In right-angled triangle PQS, right angled at Q.

From (i) and (iii) , we get