A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
Yes, because 4 + 5 > 8
Yes, because 5 + 8 < 4
No, because 4 + 5 > 8
No, because 5 + 8 > 4
1 answer
Yes, because 4 + 5 > 8. According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side. So in this case, 4 + 5 is greater than 8, which means that a triangle can be formed with these side lengths.