1.

In each of the following cases, given reasons to show that the construction of ∆ABC is not possible:(i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm.(ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm.(iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.(iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.

Answer» In each of the following cases, given reasons to show that the construction of ∆ABC is not possible:

(i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm.

(ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm.

(iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.

(iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.


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