Question

A triangle has two sides of 8 and 15. What is the largest possible whole number length for the third side?

Answer 1

Largest possible value for the 3rd side can be 22.

Explanation:

Property of sides of a triangle:

If two sides of a triangle are
`a` and
`b` long, then the length of third side
`c` must be:

`(a+b) > c`

i.e. the sum of two sides
`a` and
`b` must be greater than the third side
`c`.

So, to find the largest possible value:

`a = 8\\b= 15`

`a+b=23`

Largest possible value of
`c` can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.