In a triangle with side lengths 5, 10 and x, what is the sum of all possible integral values of x?

Guest May 15, 2022

#2**+1 **

The triangle inequality states that the sum of the 2 smallest sides must be greater than the largest side.

This means that x can be anywhere from 6 to 14, because \(6 + 5 > 10\) and \(5+10>14\).

Now, we need to find the sum of all the numbers between 6 and 14.

Can you take it from here?

BuilderBoi May 15, 2022