Question

which of the following sets could not be the lengths of the sides of a triangle (5,6,12) (5,7,10) (4,4,5) (4,5,5)

Answer 1

The first set (5, 6, 12) can not be a triangle.

Explanation:

In a triangle, the two smaller sides cannot add up to less than the longest side. This would make it an impossible triangle. Since 5 + 6 is equal to 11, which is less than 12, this triangle is not real.