Question

Which of the following side lengths can form a triangle?

24, 24, and 47

15, 30, and 45

23, 28, and 55

8, 17, and 25

Answer 1

24, 24, 47
because they make up the Pythagorean theorem to find the triangle sides.

Answer 2

Answer is A. 24, 24, and 47

This deals with the Triangle inequality theorem. It basically says that the two shortest sides, when added together, must be greater than the longest side.

A. 24 + 24 = 48 48 > 47

B. 15 + 30 = 45 45 = 45

C. 23 + 28 = 51 51 < 55

D. 8 +17 = 25 25 = 25