The construction of ΔABC,


The construction of ΔABC, 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


(a) 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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