Geometry CMI 2014

Level 2

In each of the following independent situations we want to construct a triangle ABC satisfying the given conditions. In each case state state how many such triangles ABC exist up to congruence. (i) AB = 30 BC = 95 AC = 55 (ii) ∠A = 30degree ∠B = 95degree ∠C = 55degree (iii) ∠A = 30 degree ∠B = 95degree BC = 55 (iv) ∠A = 30degree AB = 95 BC = 55

0,infinite,2,1 1,3,1,2 0, infinite, 1, 2 0,0,1,2

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