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

Show That PQS and TQR

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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 .

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

Triangle ABC

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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

Marks-3-Che-6-Que-18-PQR is a right Triangle right angled

PQR is a Right Triangle Right Angled

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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