Need math help with triangles and lengths

timer Asked: Nov 11th, 2015
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Question Description

A triangle has 2 sides that have lengths of 8cm and 14 cm

which length could NOT represent the length of the third side

15 cm

7 cm

22 cm

18 cm

Tutor Answer

School: University of Virginia

Thank you for the opportunity to help you with your question!

The sum of the two shorter sides of a triangle is always more than the longer side of the triangle

There are two possibilities that can occur

taking the unknown side to be t

1. if t is the longest then

8 + 14 > t

22> t

2. if t is one of the shortest side then

t +8 > 14

t >6


6< t < 22

Hence the answer is 22, since t is greater than 6 and less than 22

Answer, 22

Please let me know if you need any clarification. I'm always happy to answer your questions.

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