Question

13 bryan has three pieces of string measuring 12 centimeters, 43 centimeters, and 30 centimeters. can the pieces of string form a triangle?
a no, because 12+30<43
b no because 43+30>12
c yes, because 12+30<43
d yes, because 43+12>30

Explanation:

Step1: Recall triangle inequality rule

For three lengths to form a triangle, the sum of any two sides must be greater than the third side. We only need to check the sum of the two shorter sides against the longest side.

Step2: Identify side lengths

The sides are 12 cm, 30 cm, 43 cm. Longest side = 43 cm.

Step3: Sum the two shorter sides

$12 + 30 = 42$

Step4: Compare sum to longest side

$42 < 43$, so the triangle inequality fails.

Answer:

A. no, because 12+30<43