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Using Midpoint and Distance Formulas
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Geometry
Geometry Basics
Using Midpoint and Distance Formulas
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Using Midpoint and Distance Formulas 1.2 - Solution
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a
The points are located at the
coordinates
(
3
,
5
)
and
(
7
,
8
)
.
Substitute these coordinates into the
distance formula
and simplify.
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
SubstitutePoints
Substitute
(
7
,
8
)
&
(
3
,
5
)
d
=
(
7
−
3
)
2
+
(
8
−
5
)
2
SubTerms
Subtract terms
d
=
4
2
+
3
2
CalcPow
Calculate power
d
=
1
6
+
9
AddTerms
Add terms
d
=
2
5
CalcRoot
Calculate root
d
=
5
The distance is
5
units.
b
The points are located at the coordinates
(
-
3
,
7
)
and
(
5
,
1
)
. Once again, substitute these coordinates into the distance formula.
d
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
SubstitutePoints
Substitute
(
5
,
1
)
&
(
-
3
,
7
)
d
=
(
5
−
(
-
3
)
)
2
+
(
1
−
7
)
2
SubNeg
a
−
(
-
b
)
=
a
+
b
d
=
(
5
+
3
)
2
+
(
1
−
7
)
2
AddSubTerms
Add and subtract terms
d
=
8
2
+
(
-
6
)
2
CalcPow
Calculate power
d
=
6
4
+
3
6
AddTerms
Add terms
d
=
1
0
0
CalcRoot
Calculate root
d
=
1
0
The distance between the points is
1
0
units.
