Question

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

Answer 1

Answer:

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

Step-by-step 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.