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Mathematics 19 Online
OpenStudy (anonymous):

HELP! Geometry find the lengths for the third side of a triangle one side of length 4 and the other side of length 7

OpenStudy (anonymous):

what kind of triangle is it?

OpenStudy (anonymous):

Just a basic regular equilateral

OpenStudy (poopsiedoodle):

So, the possible lengths can be anywhere from 4 to 11.

OpenStudy (anonymous):

an equilateral has all the same side lengths...

OpenStudy (mathmale):

Your answer, Brooke, would depend upon what kind of triangle you have. Is it a right triangle? an acute triangle? an obtuse one? Important, Brooke: be certain you know what "equilateral" means. What does "equi-" represent?

OpenStudy (poopsiedoodle):

That can be modeled with the compound inequality 3<x<11. So, actually, 4 to 10*

OpenStudy (poopsiedoodle):

The rule to help you figure this out in the future is that 2 sides of a triangle always have to be bigger than the 3rd side.

OpenStudy (poopsiedoodle):

So yeah, the 3rd side can be anywhere from 4 to 10.

OpenStudy (mathmale):

Actually, Poop, "that THE SUM OF ANY TWO sides of a triangle always has to be greater than the length of the third side." Good observation on your part!

OpenStudy (poopsiedoodle):

That's what I meant :P

OpenStudy (poopsiedoodle):

But yeah. That.

OpenStudy (mathmale):

:) Say what you mean, mean what you say. :)

OpenStudy (mathmale):

That.

OpenStudy (raden):

it just 3 < x < 11

OpenStudy (anonymous):

Thank you everyone for the help!

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