Question

can a triangle be formed with side lengths 13, 7, and 5? Explain.

Yes, because 13 + 7 > 5
Yes, because 13 + 5 < 7
No, because 5 + 7 < 13
No, because 5 + 7 > 13

Answer 1

Yes, because 13 + 7 > 5 and 13 + 5 > 7, meaning that the sum of any two sides is greater than the third side.