Question

Which of the following possibilities will form a triangle? (5 points)

A. Side = 16 cm, side = 8 cm, side = 7 cm

B. Side = 16 cm, side = 9 cm, side = 7 cm

C. Side = 17 cm, side = 12 cm, side = 7 cm

D. Side = 17 cm, side = 11 cm, side = 5 cm

Answer 1

Answer: is C

Explanation:

Answer 2

C. Side = 17 cm, side = 12 cm, side = 7 cm

Explanation:

Three line segments can form a triangle, if the sum of any two lengths is greater than the third length.

In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.

In B) 9 + 7 = 16 = 16. Hence, the lines are collinear.

In D) 11 + 5 = 16 < 17. So, D cannot form a triangle.

In C),

17 + 12 = 29 > 7

12 + 7 = 19 > 17 and

17 + 7 = 24 > 12

Hence, sides given in (C) can form a triangle.