Question

Which of the following side lengths can form a triangle?

A. 2 in, 3 in, and 7 in

B. 21 cm, 23 cm, and 44 cm

C. 12 mm, 36 mm, and 53 mm

D. 14 ft, 17 ft, and 30 ft

Answer 1

The sum of the length of the two sides of the triangle must be greater than the length of the third side.

A.

2 + 3 = 5 < 7 NOT

B.

21 + 23 = 43 < 44 NOT

C.

12 + 36 = 48 < 53 NOT

D.

14 + 17 = 31 > 30

14 + 31 = 45 > 17

17 + 31 = 48 > 14

CORRECT

Answer: D. 14 ft, 17 ft, and 30 ft

Answer 2

Okay, so my last answer was deleted because I didnt show any work.

According to the rule,

a+b>c

c+b>a

c+a>b

so...

2+3=6...6<7

21+23=44...44+44

12+36=48...48<53

14+17=31...31>30

Since answer D is the only answer that fullfills the rule a+b>c, it is the correct answer