Question 538374: Is it possible to make a triangle with the side lengths 8,10,19? Why or why not? Found 2 solutions by benni1013, Alan3354:Answer by benni1013(206) (Show Source):
You can put this solution on YOUR website! It is always possible to make a triangle with three sides of different lengths. The ideal triangle is always a right triangle. There are ways to determine what kind of triangle you have. The way to find out if you have a right triangle is the Pythagorean theorem (a^2+b^2=c^2). The other way is using greater than or less than but don't exactly remember.
You can put this solution on YOUR website! Is it possible to make a triangle with the side lengths 8,10,19?
No, it's not possible.
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Why or why not?
In math terms, no side can be >= the sum of the other 2 sides.
Any side must be greater than the difference, and less than the sum of the other 2 sides.
19 > 8 + 10
So it won't work.
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If you cut strings or straws of those lengths, you'll see that the 8 and 10 units length sides laid end-to-end don't reach to the end of the 19 units side.
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