Question

It is possible to construct a triangle ABC in which AB = 5cm, $\angle$B = ${45}^{\circ }$ and (BC + AC) = 5cm.

True or False?

• A. True
• B. False

Answer 1

The correct option is B

False

To construct a triangle, the minimum requirement is to have the sum of the other two sides of the triangle greater than the third side of the triangle. In this case, the sum of the other two sides is equal to the length of the third side which means that the triangle cannot be constructed because the sum of 2 sides of the triangle is not greater than the third side.