SOLUTION: Why is a triangle with dimensions of 10in 12in and 16 in an obtuse triangle?

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Question 732610: Why is a triangle with dimensions of 10in 12in and 16 in an obtuse triangle?
Found 3 solutions by josmiceli, solver91311, lynnlo:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Because the angle opposite the 16 in side
must be greater than 90 degrees for the
triangle to be obtuse.
For now, call the 16 in side
If the opposite angle was exactly 90 degrees, then





This is less than , so the angle opposite
the in side must be greater than 90 degrees
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Because the square of the longest side is GREATER than the sum of the squares of the other two sides. (LESS -> Acute, EQUAL -> Right)

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
BECAUSE,ONLY A SINGLE ANGLE IN A TRIANGLE CAN BE OBTUSE,ALSO IT CAN ONLY HAVE ONE ANGLE THAT MEASURES MORE THAN 90 DEGREES
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