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

Doorsteptutor material for CBSE/Class-10 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

Question 16:

In the given figure, and , show that

Show That PQS and TQR



Proof: As

PQ = PR … . (i)

[side opposite to equal angles are equal]


In and TQR, we have


Question 17:

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

Marks-3-Che-6-Que-17-Triangle ABC


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

To show:

Proof: In


From (i) and (ii) , we get

Now in

Question 18:

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

Marks-3-Che-6-Que-18-PQR is a Right Triangle Right Angled


Given: is a right Triangle, right-angled at


To prove:

Proof: In right-angled triangle right angled at .


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

From (i) and (iii) , we get

Developed by: