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Mathematics 19 Online
OpenStudy (anonymous):

Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x?

OpenStudy (anonymous):

OpenStudy (anonymous):

Any side of a triangle must be less than the other two sides added together, so a < b+c, b < a+c, and c < a+b where a and b are the given length of the two sides and c is the length of the third side source: http://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.253712.html

OpenStudy (anonymous):

so how would i solve it

OpenStudy (anonymous):

check out the site there is an example there :)

OpenStudy (anonymous):

ok i still dnt understand

OpenStudy (anonymous):

let a=5, b=12 and c=length of the third side Using these formulas we compute for c. a < b+c b < a+c c < a+b 5<12+c -> c=-7 12<5+c -> c=7 c<12+5 ->c=17 since there is no negative length we use c=7 and disregard c=-7 so the range is 7<c<17 or in your case 7<x<17

OpenStudy (anonymous):

oh okay thankx alot

OpenStudy (anonymous):

welcome :)

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