SOLUTION: Can two of the angle bisectors of a tirangle intersect perpendicularly? Explain. (i think the answer is yes, for a right triangle? but i don't know why)

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Question 147489: Can two of the angle bisectors of a tirangle intersect perpendicularly? Explain.
(i think the answer is yes, for a right triangle? but i don't know why)
Answer by vleith(2517) (Show Source):
You can put this solution on YOUR website!
I don't think so.
Start with a right triangle.
At the non-right angle vertices, double the angles. What are the resulting angles?
Let's say that one angle was alpha, then the other angle must be 90-alpha.
If we double alpha, we get 2alpha.
If we double (90-alpha), we get (180-2alpha).
The sum of the anlges inside a triangle is 180.
Let's add our two angles so far. 180-2alpha + 2alpha = 180. So we already have 180 degrees. The other vertex doesn't exist (the lines are parallel).