A triangle has corners at #(5 , 4 )#, ( 7 , 9)#, and #( 5 , 8 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
1 Answer
Aug 7, 2018
Bisectors:
Explanation:
Triangle
Vertices:
Construct a perpendicular bisector:

for side
#AB# ,find the midpoint:
#E(6,6.5)#
#" "#
2. for side#BC# ,find the midpoint:
#D(6,8.5)#
#" "#
3. for side#AC# ,find the midpoint:
#F(5,6)#
Measure the magnitudes of the perpendicular bisectors:
Examine the constructed sketch below and verify:
Hope it helps.