Class 9 Maths Chapter 7 Triangles Solutions

Class 9 Maths Chapter 7 Triangles Solutions: Exercise 7.4 · 6 questions, answered for the NCERT Class 9 textbook.

Exercise 7.4 Class 9 Maths Chapter 7 Triangles

1. Show that in a right angled triangle, the hypotenuse is the longest side.

2. In Fig. 7.48, sides AB and AC of ∆ ABC are extended to points P and Q respectively. Also, ∠PBC<∠ QCB. Show that AC > AB.

3. In Fig. 7.49, ∠ B < ∠ A and ∠ C < ∠ D. Show that AD < BC.

4. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that ∠ A > ∠ C and ∠ B > ∠ D.

5. In Fig 7.51, PR > PQ and PS bisects ∠ QPR. Prove that ∠ PSR > ∠ PSQ.

6. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

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