Question

The construction of a ∆ABC in which AB = 7 cm, ∠A = 75° is possible when (BC − AC) is equal to
(a) 7.5 cm
(b) 7 cm
(c) 8 cm
(d) 6.5 cm

Answer 1

(d) 6.5 cm
It is because the difference of any two sides of a triangle is always less than the third side.
i.e., BC $-$ AC < AB
Here, BC $-$ AC < 7 cm and 6.5 < 7.