Answer:
C
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides
Try A (2,4,7)
2+4<7 so it is wrong
Try B (2,4,2)
2+4>2
2+2 = 4 wrong
Try D (2,4,6)
2+4 = 6 wrong
Try C (2,4,5)
2+4>5
4+5>2
5+2>4
yay it works
Answer: (C) 5
Step-by-step explanation:
The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Therefore, if x is the third side, then 2+4>x, and x+2>4.
Therefore, x<6 and x>2, meaning that 2<x<6. The only choice that satisfies this is 5.
