A triangle has corners at $(5 , 4 )$ , ( 7 , 9) $, and$ ( 5 , 8 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?

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Answer 1 · 2018-08-07T05:11:14

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$A(5,4), B(7,9) and C(5,8)$

Bisectors:

$D(6,8.5) and G(7.25,6)$ with $DG=2.8 " units"$
$E(6,6.5) and G(7.25,6)$ with $EG=1.35 " units"$
$F(5,6) and G(7.25,6)$ with $FG=2.25 " units"$

$" "$
Triangle $ABC$ :

Vertices: $A(5,4), B(7,9) and C(5,8)$

Construct a perpendicular bisector:

Measure the magnitudes of the perpendicular bisectors:

$EG=1.35" Units"$

$FG=2.25" Units"$

$DG=2.8" units"$

Examine the constructed sketch below and verify:

enter image source here

Hope it helps.

A triangle has corners at (5 , 4 )(5 , 4 ), ( 7 , 9), and , and ( 5 , 8 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?