SOLUTION: Given triangle ABC with vertices A(0,4) ,B(-6,0) and C(2,0) , where l,m and n are the perpendicular lines bisecting AB,AC and BC, respectively. Obtain the equation of l,m and n.
Algebra.Com
Question 1062291: Given triangle ABC with vertices A(0,4) ,B(-6,0) and C(2,0) , where l,m and n are the perpendicular lines bisecting AB,AC and BC, respectively. Obtain the equation of l,m and n.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
AB
--------
A(0.4)
B(-6,0)
midpoint:
( -3,2 )
----------
slope:
perpendicular slope:
========================
AC
-------
A(0,4)
C(2,0)
midpoint:
( 1,2 )
---------
slope:
perpendicular slope:
=========================
BC
-------
B(-6.0)
C(2,0)
midpoint:
and
( -2,0)
---------
slope:
perpendicular slope = vertical line
through the midpoint
=========================
=========================
equation for L:
( -3,2 )
m = -3/2
-------------
=========================
Equation for M:
( 1,2 )
m = 1/2
=========================
Equation for N:
( -2,0 )
m = vertical line
==========================
Whew!
Check the math
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