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Mathematics 9 Online
OpenStudy (iiariana):

A triangle can be formed with side lengths 3 in, 5 in, and 9 in. True False

jimthompson5910 (jim_thompson5910):

A triangle with sides a,b,c is only possible if all of the following are true a+b > c a+c > b b+c > a

OpenStudy (iiariana):

Okay thanks

OpenStudy (iiariana):

So basically it's false

jimthompson5910 (jim_thompson5910):

why is it false?

OpenStudy (iiariana):

Because all of the sides aren't the same?

jimthompson5910 (jim_thompson5910):

no that's not the reason why

jimthompson5910 (jim_thompson5910):

a = 3 b = 5 c = 9 is a+b > c true?

OpenStudy (iiariana):

Yes

jimthompson5910 (jim_thompson5910):

you sure?

OpenStudy (iiariana):

Wait

OpenStudy (iiariana):

No

jimthompson5910 (jim_thompson5910):

you should end up with 8 > 9 which is false

OpenStudy (iiariana):

Ok

jimthompson5910 (jim_thompson5910):

this is the triangle inequality theorem http://www.regentsprep.org/regents/math/geometry/GP7/LTriIneq.htm

OpenStudy (iiariana):

Ok So false right?

jimthompson5910 (jim_thompson5910):

yeah because the two sides (5 and 3) aren't long enough to be able to fit the other side (9)

jimthompson5910 (jim_thompson5910):

we have something like this maybe |dw:1436398957076:dw|

OpenStudy (iiariana):

Okay thanks so much I wouldn't of know that if it wasn't for you!!! c:

jimthompson5910 (jim_thompson5910):

you're welcome

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