CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 15
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Question 16:
In the given figure, and , show that

Show That PQS and TQR
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 .

Triangle ABC
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

PQR is a Right Triangle Right Angled
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