NCERT Solutions Class 9 Maths Chapter 7 – Triangles Exercise 7.4

Chapter 7 – Triangles Exercise 7.4

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

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(Q 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.

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

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(Q 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.

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

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(Q 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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