Write True or False. Give reasons for your answer:
A triangle ABC can be constructed in which AB = 5 cm, and BC + AC = 5 cm.
Answer
False
Solution
Given : AB = 5 cm, and BC + AC = 5 cm.
According to theorem of inequalities, the sum of two sides of a triangle is greater than the third side.
But here, BC + AC = AB
Hence, the type of triangle can’t be constructed.
Therefore the given statement is false.