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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
Read Solution (Total 7)
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- 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. - 14 years agoHelpfull: Yes(6) No(0)
- AB=5
BC=10
CA=125^1/2
AB^2 + BC^2 =CA^2
so B is right angle - 14 years agoHelpfull: Yes(3) No(0)
- a
- 14 years agoHelpfull: Yes(0) No(3)
- a)
- 14 years agoHelpfull: Yes(0) No(2)
- d
- 14 years agoHelpfull: Yes(0) No(1)
- 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 - 14 years agoHelpfull: Yes(0) No(1)
- 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 - 10 years agoHelpfull: Yes(0) No(0)
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