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The construction of a triangle ABC, given that BC = 6 cm, \angle B = 45^{\circ} 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

Answers (1)

Answer

(A) 6.9 cm

Solution

Theorem of inequalities says that the sum of two sides of a triangle is greater than the third side.

So,       AC + BC > AB

            BC > AB – AC

It is given that BC = 6 cm

            6 > AB – AC                                       …..(1)

Only one option does not satisfy equation 1, which is option (A) 6.9 cm

Therefore option (A) is correct.

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