Which of the following sets could not be the lengths of the sides of a triangle?
{6, 10, 12}
{5, 7, 10}
{4, 4, 9}
{2, 3, 3}
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OpenStudy (anonymous):
@cwrw238
OpenStudy (anonymous):
@IMStuck
OpenStudy (imstuck):
ok there are rules here for triangles. Let's make one using your sides, then we will apply the rules.
OpenStudy (anonymous):
okayy??? @IMStuck
OpenStudy (anonymous):
would it be 4 4 9
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OpenStudy (imstuck):
|dw:1405457117304:dw|
OpenStudy (imstuck):
this is an example using thee first set of sides. But for all the choices, side AB added to side BC has to be greater in length than side AC; side BC added to side AC has to be greater in length than side AB; side AC added to side AB has to be greater in length than side BC. This is true for all triangles.
OpenStudy (anonymous):
so the answer would be 4,4,9?
OpenStudy (imstuck):
yes it would. very good! Just remember that rule for an in-general kind of thing, okk?