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71. In ∆ABC, if ∠A = 50° and ∠B = 60°, determine the shortest and the longest side of the triangle.

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72. In a ∆DEF, if ∠D = 30°, ∠E = 60° then which side of the triangle is longest and which side is shortest?

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73. In figure, if ∠a > ∠b then prove that PQ > PR.

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74. In ∆ABC, ∠A = 60°, ∠B = 40°, which side of this triangle is the smallest? Give reasons for your answer.

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75.

In ∆PQR, ∠P = 100° and ∠R = 60°, which side of the triangle is the longest. Give reasons for your answer.

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76.

In the given figure, if AD is the bisector of ∠BAC then prove that
(i) AB > BD (ii) AC > CD

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77. In the given figure, T is a point on the side QR of ∆PQR and S is a point such that TR = TS. Prove that PQ + PR > QS.

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78. In the given figure, S is any point on the side QR of a ∆PQR. Show that PQ + QR + RP > 2PS.

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Construct the perpendicular bisectors of two sides of ∆ABC. Their point of intersection is the required point.

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80. In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

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