Question

Will mark bianleasnt

Which of the following side lengths can form a triangle?

21 cm, 23 cm, and 44 cm

14 ft, 17 ft, and 30 ft

2 in, 3 in, and 7 in

12 mm, 36 mm, and 53 mm

Answer 1

Answer: 14, 17, 30

Explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations:

a + b > c & a + c > b & b + c > a

21 + 23 = 44 which is NOT greater than 44

2 + 3 = 5 which is NOT greater than 7

12 + 36 = 48 which is NOT greater than 53

14 + 17 > 30 & 14 + 30 > 17 & 17 + 30 > 14

so these side length form a triangle