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Mathematics 15 Online
OpenStudy (anonymous):

Which set of numbers can NOT represent the lengths of the sides of a triangle? A) {7,5,6} B) {9, 12,19} C) {6,8,11} D) {7,18,11}

OpenStudy (anonymous):

@esamalaa

OpenStudy (anonymous):

i think no. D

OpenStudy (anonymous):

may be

OpenStudy (anonymous):

What's the answer?

OpenStudy (anonymous):

i do not know

OpenStudy (anonymous):

It's ok

OpenStudy (anonymous):

No idea...especially if it's a triangle with any angles.

OpenStudy (anonymous):

Thanks anyway

OpenStudy (anonymous):

Oh! I got it.

OpenStudy (anonymous):

@tHe_FiZiCx99

OpenStudy (anonymous):

He's right, it is D. Think about two of the smaller sides connected and able to move around freely, like:|dw:1393031466310:dw|

OpenStudy (anonymous):

Thank you guys!!! #Iloveyou

OpenStudy (anonymous):

the two smaller sides must lie at an angle less than 180 degrees--they can't be just a line or some type of reflex triangle,

OpenStudy (anonymous):

|dw:1393031540141:dw|

OpenStudy (anonymous):

so the third and longest side must be less than the other two sides added together.

OpenStudy (anonymous):

--in order to form a triangle and not just a line or something else.

OpenStudy (the_fizicx99):

The highest number in the set has to be LESS than the sum of the other two, so add 2 smallest number and they have to be greater than the largest. Try A, {7,5,6} The largest is 7, 5 + 6 = 11 11 is greater than 7 <-- THIS works. It's asking for which doesn't represent it. Try the rest on your own :)

OpenStudy (anonymous):

@tHe_FiZiCx99 the answer is D right?

OpenStudy (the_fizicx99):

Yes, because if you add 7 + 11, it gives you 18 18 is equal to 18 not greater than

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