Question

If two sides of a triangle are 9cm and 15cm in length, which could be the measure of the third side?

A. 23cm
B. 24cm
C. 25cm
D. 26cm.​

Answer 1

The two sides of the triangle are 9 cm and 15 cm. Let the length of the third side is x. According to triangle inequalities, in a triangle sum of the two sides is must be greater than the third side. So, the length of the third side is less than 24 cm.

Answer 2

option A

Explanation:

Sum of any 2 sides of a triangle should be more than the third side. Here already measure of 2 sides have been given. So ,

3rd side < (15 + 9)

=> 3rd side < 24cm

Hence 3rd side should be less than 24 cm. Here 23 cm (option A) is less than 24cm. So it can be the measure of 3rd side