Question

Question
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

a + b > c

Using this theorem, tell whether the examples below are possible triangles by selecting yes or no.

(4 points)
Yes No
a = 3, b = 2, c = 4


a = 7, b = 10, c = 18


a = 2, b = 4, c = 7


a = 5, b = 4, c = 7

Answer 1

a = 3, b = 2, c = 4 → Yes (3 + 2 = 5 > 4)

a = 7, b = 10, c = 18 → No (7 + 10 = 17 < 18)

a = 2, b = 4, c = 7 → No (2 + 4 = 6 < 7)

a = 5, b = 4, c = 7 → Yes (5 + 4 = 9 > 7)