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

• 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.
• 11 years agoHelpfull: Yes(5) No(9)
• just by plotting in a graph we can say
  angle(BAC)
• 10 years agoHelpfull: Yes(4) No(0)
• 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.
• 10 years agoHelpfull: Yes(3) No(1)
• Plotting the graph we can say largest angle is ACB
• 10 years agoHelpfull: Yes(2) No(0)