Latest CTS Aptitude Question SOLUTION: If the vertices of the triangle are A(1,2), B(-2,-3) and C(2,3) then which is the largest angle? A. Angle(ABC) B.Angle(BAC) C.Angle(ACB) D.None

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(#M40007281) CTS Logical Reasoning question numerical problem Keep an EYE

If the vertices of the triangle are A(1,2), B(-2,-3) and C(2,3) then which is the largest angle?
A. Angle(ABC)
B.Angle(BAC)
C.Angle(ACB)
D.None

Asked In CTS (12 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

pallavi dash  (10 years ago)

length of AB is √(9 + 1) = √10
length of BC is √(16 + 0) = 4
length of CA is √(1 + 1) = √2

largest angle is opposite longest side, so angle A is largest.so ans is b.

Is this solution Helpfull? Yes (5) | No (9)  

priyadarshinirao  (9 years ago)

just by plotting in a graph we can say
angle(BAC)

Is this solution Helpfull? Yes (4) | No   

rgopalnaik  (10 years ago)

option(b).
Given vertices of the triangle are A(1,2), B(-2,-3) and C(2,3).
Draw the triangle those vertices in coordinate system.
By calculating the slope we can calculate the angle since ANGLE=arctan(slope).
slope of BA=(y2-y1)/(x2-x1)=(-5)/(-3)=5/3. Angle at B=arctan(5/3)=59degrees.
sloe of CA=(3-2)/(2-1)=1==>Angle at C=arctan(1)=45degrees
In any triangle sum of all angles is 180degrees.
Hence angle at A=180-angle of B-angle of C=180-59-45=76.
Hence Angle BAC is correct.

Is this solution Helpfull? Yes (3) | No (1)  

Joydep Chakraborty  (9 years ago)

Plotting the graph we can say largest angle is ACB

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