Are the following triangles possible? (i) AB = 4 cm, BC = 5.6 cm, AC = 10 cm (ii) ∠A = 60o, ∠B = 120o, ∠A = 30o [4 MARKS]
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Solution
Reason : 1 Mark each Answer : 1 Mark each
(i) Triangle ABC is not possible. This is because for any triangle, the sum of two sides should be greater than the third but AB + BC < AC. (ii) Triangle ABC is not possible. Sum of all angles in a triangle should be 180o but here ∠A(60o) + ∠B(120o) + ∠A(30o) = 210o