Q. 23.8( 6 Votes )

# The construction of a triangle ABC, given that BC = 6 cm, DB = 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 :

__We know that the difference of any two sides of a triangle is less than the third side.__

So, (AB – AC) must be less than 6 cm.

Options (B), (C) and (D) satisfy the above condition.

When AB – AC = 6.9 cm, the condition doesn’t satisfy.

__Ans. The construction of the given ΔABC is not possible when difference of AB and AC is equal to 6.9 cm.__

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