SOLUTION: Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7) What type of triangle is ABC a. Scalene Acute b. Scalene Right c. Scalene Obtuse d. Isosceles Acut

Algebra ->  Triangles -> SOLUTION: Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7) What type of triangle is ABC a. Scalene Acute b. Scalene Right c. Scalene Obtuse d. Isosceles Acut      Log On


   



Question 252359: Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7)
What type of triangle is ABC
a. Scalene Acute b. Scalene Right c. Scalene Obtuse
d. Isosceles Acute e. Isosceles Right

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7)
What type of triangle is ABC
AB DATA:
slope = (0--6)/(1-0) = 6
length = sqrt(6^2+1^2) = sqrt(37)
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AC DATA:
slope = (-7--6)/(6-0) = -1/6
length = sqrt(1^2+6^2) = sqrt(37)
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What type of triangle is ABC
Ans: Isosceles Right Triangle.
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Cheers,
Stan H.
a. Scalene Acute b. Scalene Right c. Scalene Obtuse
d. Isosceles Acute e. Isosceles Right