A ΔABC can be constructed in
Question:

A ΔABC can be constructed in which ∠B = 60°, ∠C =45°, and AB + BC + CA = 12 cm.

Solution:

True

We know that, sum of angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

Here, ∠B + ∠C = 60°+ 45° = 105°< 180°,

Thus, ΔABC with given conditions can be constructed.