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Mathematics 8 Online
OpenStudy (anonymous):

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?

OpenStudy (anonymous):

which line do you think b is?

OpenStudy (anonymous):

a^2+c^2 < b^2 a^2+c^2 > b^2 b^2+c^2 < a^2 a^2+b^2 < c^2

OpenStudy (anonymous):

what do you mean?

OpenStudy (anonymous):

if you draw a picture it may help.

OpenStudy (anonymous):

draw an obtuse triangle

OpenStudy (anonymous):

|dw:1424137389124:dw|

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

what so unique about the line across the obtuse angle?

OpenStudy (anonymous):

it's the largest?

OpenStudy (anonymous):

there you go!

OpenStudy (anonymous):

it has to be longest line

OpenStudy (anonymous):

not that hard is it?

OpenStudy (anonymous):

does that mean that a^2 + c^2 > b^2?

OpenStudy (anonymous):

if you try it with 3,4,5 you can easily get the answer...

OpenStudy (anonymous):

plug it in all of the equations

OpenStudy (anonymous):

that's the only one that is true i think :o

OpenStudy (anonymous):

show me ur steps

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