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.