Question 423008: how do i find out if the 3 side lengths are given if it's a right, acute or obtuse triangle?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Use a corollary of the converse of the pythagorean theorem, found here.
This is what the corollary states:
A corollary of the Pythagorean theorem's converse is a simple means of determining whether a triangle is right, obtuse, or acute, as follows. Where c is chosen to be the longest of the three sides and a + b > c (otherwise there is no triangle according to the triangle inequality). The following statements apply:[28]
* If a^2 + b^2 = c^2, then the triangle is right.
* If a^2 + b^2 > c^2, then the triangle is acute.
* If a^2 + b^2 < c^2, then the triangle is obtuse
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Jim
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