Question

A $\Delta$ABC can be constructed in which $\angle$B = 60${}^{\circ }$, $\angle$C = 45${}^{\circ }$, and AB + BC + CA = 12cm.

• A. True
• B. False

Answer 1

The correct option is A

True

We know that, sum of angles of a triangle is 180${}^{\circ }$​.

∠A + ∠B + ∠C = 180${}^{\circ }$​

Here,

∠B + ∠C = 60${}^{\circ }$​ + 45${}^{\circ }$​= 105${}^{\circ }$​​ $<$ 180${}^{\circ }$​

Thus, $\Delta$ABC with given conditions can be constructed.