Latest TCS Aptitude Question SOLUTION: The Vertices of ABC are point A(1,2), B(4,6), C(-4,12). Which of the following is true? a) ABC is not a Right ∆ b) It is a right ∆ with right angle at C c) It is a right

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The Vertices of ABC are point A(1,2), B(4,6), C(-4,12). Which of the following is true?
a) ABC is not a Right ∆
b) It is a right ∆ with right angle at C
c) It is a right ∆ with right angle at B
d) It is a right ∆ with right angle at A

Asked In TCS Somil Nain (13 years ago)

Unsolved Read Solution (7)

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Shrishailam  (13 years ago)

for right angled triangle, product of the slopes of 2 sides must be equal to -1.
here, slope of line CA= (y2-y1)/(x2-x1) = -2. Similarly slope of line AB= 4/3 And slope of line CB= -3/4.
See here that the product of slope of lines AB and CB = -1.
Hence the triangle is right angled at B.

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RISHI KUMAR  (13 years ago)

AB=5
BC=10
CA=125^1/2
AB^2 + BC^2 =CA^2
so B is right angle

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pipi  (13 years ago)

a

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Tanaya  (13 years ago)

a)

Is this solution Helpfull? Yes | No (2)  

Vibhu Upadhyaya  (13 years ago)

d

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Rahul Hooda  (13 years ago)

ans d
we can find the distance between 3 points and can prove it with hypotnuse theorem
AB=5
BC= 10
CA=(5^2+10^2)^.5

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lakshman singh  (9 years ago)

distance between pt AB=5, BC=10, CA=5*ROOT5;
AB^2+BC^2=CA^2;
SO IT IS RIGHT TRIANGLE WITH RIGHT ANGLE AT B;
SO CORRECT ANSWER IS OPTION C

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