1.

The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to : (A) 3.2 cm (B) 3.1 cm (C) 3 cm (D) 2.8 cm

Answer»

(D) 2.8 cm

Given, BC = 3 cm and ∠C=60°

We know that, the construction of a triangle is possible, if sum of two sides is greater than the third side of the triangle i.e.,

AB+ BC > AC

=> BC > AC – AB

=> 3 > AC – AB

So, if AC – AB = 2.8 cm, then construction of ΔABC with given conditions is possible.



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