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triangle has sides measuring 2 inches and 7 inches If x represents the length in inches of the third side which inequality gives the range of possible values for x?

2 Answers

3 votes

Answer:

5<x<9

Explanation:

plz vote 5 starz =)

User Rahul Rawat
by
8.4k points
5 votes
we know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
so
inequality 1

(2+7) \ \textgreater \ x \\ 9 \ \textgreater \ x \\ x \ \textless \ 9 in

inequality 2

(x+2) \ \textgreater \ 7 \\ x \ \textgreater \ 7-2 \\ x \ \textgreater \ 5 in

the answer is

5 in \ \textless \ x \ \textless \ 9 in
User JeffH
by
7.5k points

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