Question

The lengths of two sides of a triangle are 5cm and 10cm. Between what two measures should the length
of third side fall?​

Answer 1

Step-by-step explanation:

The condition that the sum of two sides must exceed the third side in a triangle can be easily extrapolated to say that each side must be less than the semi-perimeter of the triangle. Using this, we can quite simply conclude that the third side can never exceed 17 cm and must always be greater than 7 cm.

You may verify by choosing random values in that range that a triangle can always be created.