SOLUTION: Find the equations of the perpendicular bisector of the sides of the triangle having vertices (3,-2), (3,4), (-1,1) and prove that they meet in a point.

Algebra.Com
Question 1170156: Find the equations of the perpendicular bisector of the sides of the
triangle having vertices (3,-2), (3,4), (-1,1) and prove that they meet
in a point.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the equations of the perpendicular bisector of the sides of the
triangle having vertices (3,-2), (3,4), (-1,1) and prove that they meet
in a point.
---------------------
Label the vertices:
A(3,-2), B(3,4), C(-1,1)
==============
Find the midpoints of AB, AC and BC.
----
Find the slopes of AB, AC and BC.
----
Find the equations of the perpendicular bisectors.
---
Find the intersections of the perpendicular bisectors.
===================================================
If you have questions about how to do that, send a message via the TY note.

RELATED QUESTIONS

P(6,3) Q(4,7) and R(3,1) are the midpoints of the sides of the triangle ABC. Find the... (answered by mananth)
2. Prove that the points (-2, 9), (-4, -2), (1, -12) and (3, -1) are vertices of a... (answered by jim_thompson5910)
Triangle ABC has vertices A (-5, 4), B (1, -2) and C (3, 6), (a)Write the equation of... (answered by D'Leeter,Edwin McCravy)
1.The three straight lines y = x, 2y = 7x , and x + 4y - 60 = 0 form a triangle. Find the (answered by ikleyn)
The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1). Find the equation of... (answered by mananth)
The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1). Find the equation of... (answered by Edwin McCravy)
Write an equation of the line that is the perpendicular bisector of the line segment... (answered by stanbon)
Given: triangle ABC A(-1,2) B(7,0) C(1,-6) and a point D(4,-3) on segment BC Prove:... (answered by Edwin McCravy)
find the area of a triangle wit vertices at ( 3, -1, 2 ) ( 1,-1,-3) and ((... (answered by Lola77479)