The construction of a triangle ABC, given that BC = 6 cm, 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
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.