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 .

Algebra ->  Linear-equations -> 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 .      Log On


   



Question 1016145: 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 macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Slope AB=(4-0)/(-1-2)=-4/3
Slope BC=(-3-4)/(-2-(-1))=(-7)/(-1)=7
Slope AC=(-3-0)/(-2-2)=(-3)/(-4)=3/4
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The slope of AC is the negative reciprocal of the slope of AB,
therefore AC and AB are perpendicular.
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ANSWER: Angle BAC is the right angle