SOLUTION: A right triangle whose vertices are A(2,0) , B(-1,4) , and C(-2,-3) . Find the vertex angle whose measure is equal to 90 degree .

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Question 1016136: A right triangle whose vertices are A(2,0) , B(-1,4) , and C(-2,-3) . Find the vertex angle whose measure is equal to 90 degree .
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
slope equation m=%28y2-y1%29%2F%28x2-x1%29
This is introduced for the fact that 2 lines which are perpendicular have slopes that are negative reciprocals of each other. So, we'll calculate the slopes formed by the lines joining these points.
AB - m=%284-0%29%2F%28-1-2%29 m=%284%29%2F%28-3%29
BC - m=%28-3-4%29%2F%28-2--1%29 m=%28-7%29%2F%28-1%29 m=%287%29
AC - m=%28-3-0%29%2F%28-2-2%29 m=%28-3%29%2F%28-4%29 m=%283%29%2F%284%29
Lines AB and AC have slopes which are negative reciprocals, and they meet at point A.