the equations of perpendicular bisectors of the sides AB and AC of a triangle ABC are x-y+5=0 and x+2y=0 respectively.If this point A(1,-2) the equation of the line BC is
Step 1. Find the point, D, where those two lines intersect.
Step 2. Find the distance, d(A,D). The is the circum-radius.
Step 3. Write the equations of the two lines through A each of which is perpendicular to one of the given lines
Step 4. Find the points on the lines in step 3 where the circum-circle insects.
Step 5: Those points are B & C.
1. Since the line AC has the slope . Use point-slope-formula to determine the equation of
2.
Consequently the midpoint of is
Now you can determine the coordinates of point C:
3. The same method will give you the point B:
4. Use the coordinates of B and C to determine the equation of BC.