SOLUTION: ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0). a). Find the equations of the right bisectors of the sides of triangle ABC. b). Show that the right bisectors of th

Question 1110387: ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0).
a). Find the equations of the right bisectors of the sides of triangle ABC.
b). Show that the right bisectors of the sides of triangle ABC are concurrent.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
ABC is a triangle with vertices A (0,0), B( 4,6) and C (6,0).
a). Find the equations of the right bisectors of the sides of triangle ABC.
---
For AB:
m = 3/2
Midpoint = (2,3)
Bisector line: y-3 = (3/2)*(x-2)
=========
Do BC and AC the same way.
=======================================
b). Show that the right bisectors of the sides of triangle ABC are concurrent.
Find the intersection point(s) of the 3 bisectors.
RELATED QUESTIONS
Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of (answered by Alan3354,ikleyn)

Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). a. Find the... (answered by Alan3354)

ABC has vertices A(�2, 4), B(6, 0), and C(�4, 0). Is ABC a right... (answered by sachi,ewatrrr)

Triangle ABC is defined by the vertices A (0,-6), B ( 1,0) and C (6,-7) What type of... (answered by stanbon)

Triangle ABC has vertices A(4, 8), B(2, �4), and C(6, 0). Find the vertices of A�B�C�... (answered by ewatrrr)

Find the lengths of the medians of the triangle whose vertices are A = (0.0), B =(6,0),... (answered by ikleyn)

Find the perimeter of triangle ABC, with coordinates A(-3, 0), B(0, 4), and C(3,... (answered by Cromlix,MathTherapy)

Find the area of the triangle with vertices of A(0, 0), B(3, 4), and C(4,... (answered by Alan3354)