1.

The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to: (A) 6.9 cm (B) 5.2 cm (C) 5.0 cm (D) 4.0 cm

Answer»

(A) 6.9 cm

Given, BC = 6 cm and ∠B= 45°

We know that, the construction of a triangle is not possible, if sum of two sides is less than or equal to the third side of the triangle.

i.e., AB + BC < AC

=> BC < AC – AB

=> 6 < AC-AB

So, if AC – AB= 6.9 cm, then construction of ΔABC with given conditions is not possible.



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