Triangle Inequalities

In other words, add the two smallest side lengths of a triangle and compare it to the third side length. If the sum is greater than the third side length, then yes a triangle is possible if not then a triangle is not possible.

For example, 7, 15, 17 makes a triangle since 7 + 15 > 17

For example, 1, 2, 3 does not make a triangle since 1 + 2 is not greater than 3.

7, 8, 13

5, 5, 5

6, 14, 7

2, 6, 4

First calculate the difference of the two given side lengths

Second calculate the sum of the two given side lengths

Combine the two values as a compound inequality, for example difference < x < sum

The smallest angle is across from the shortest side.

The largest angle is across from the longest side.

Shortest side will be across the smallest angle.

Longest side will be across the largest angle.