Question

the lengths of two sides of a triangle are 15 and 13. find the lengths that the third side must be greater and less then.

Answer 1

greater than 2

less than 28

Explanation:

The sum of the lengths of the two shortest sides must be more than the length of the longest side. If x is the shortest side, ...

... x + 13 > 15

... x > 2

If x is the longest side, ...

... 13 +15 > x

... x < 28

Then the allowed range for the third side is ...

... 2 < x < 28