Question

Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side?

• A. 19 cm
• B. 17 cm
• C. 23 cm
• D. None of these

Answer 1

The correct option is D None of these

The sum of any two sides of triangle is always greater than length of third side. For example:
Let ABC is a trianlge. And AB, BC and AC are the three sides of Trianlge.
So,
(AB+BC).AC or
(AB+AC)>BC or
(AC+BC)>AB
It means,
(7+10)> third side.
In other words,
Third side<17
But there is no option less than 17. So, required answer would be None of these