Question

Two sides of a triangle have lengths of 20 inches and 34 inches. Which could be the length of the third side?

A.  4 inches

B.  60 inches

C.  14 inches

D.  27 inches

Answer 1

The sum of the lengths of any two sides of a triangle must be greater than to the length of the third side.

A.

4 + 20 = 24 < 34 NOT

B.

20 + 34 = 54 < 60 NOT

C.

14 + 20 = 34 NOT

D.

20 + 27 =47 > 34

20 + 34 = 54 > 27

27 + 30 = 57 > 20

CORRECT

Answer: D. 27 inches