Question

The construction of a ∆ABC in which BC = 6 cm and ∠B = 50° is not possible when (AB − AC) is equal to
(a) 5.6 cm
(b) 5 cm
(c) 6 cm
(d) 4.8 cm

Answer 1

(c) 6 cm
It is because the difference of any two sides of a triangle is always less than the third side.
i.e., AB $-$ AC < BC
So, AB $-$ AC < 6
Thus, the construction of a ∆ABC in which BC = 6 cm and ∠B = 50° is not possible when (AB − AC) is equal to 6 cm.