Answer:
Yes
Explanation:
We can tell if a triangle can exist based on the relationship between the side lengths.
Side Length Relationships
For a triangle to really exist, the sum of the smaller legs must be greater than the length of the longest leg. This can be expressed with the inequality a + b > c, where a and b are the shorter legs.
Now, we can plug the values we are given into this inequality.
Since the inequality is true, this triangle does exist.
Other Examples
One of the most important things to remember is that the sum of the shorter legs must be greater than, not equal to, the longest leg. So take the sides 4, 6, and 10.
This statement is not true. 10 is not greater than 10; they are equal. Thus, these sides cannot make a triangle.
Additionally, if the 3 numbers are Pythagorean triples, then it will be a right triangle. For example, the sides 5, 12, and 13 will create a right triangle.