9. The sides of a triangle are in the form of consecutive even integers. If its p
measure of each side.
Project Work
Write down an expression for the
perimeter of the given figure. Write the
expression in its simplest form.
If the perimeter of the figure is equal to
48, write down an equation to represent
the same
3b
For what value of b is the perimeter of
the figure is 512
Verify if your solution k
Answers
Answer:
Explanation:
Three consecutive even numbers can be expressed in terms of
n
. If
n
is an even number then
(
n
−
2
)
,
(
n
)
,
(
n
+
2
)
are three consecutive even numbers.
Therefore
(
n
−
2
)
+
(
n
)
+
(
n
+
2
)
=
180 cm
We can simplify so...
3
n
+
2
−
2
=
180
3
n
+
0
=
180
Divide both sides by
3
to solve for
n
3
n
3
=
180
3
n
=
60
60
is an even integer. Input
60
into the original equation.
(
n
−
2
)
+
(
n
)
+
(
n
+
2
)
=
180
(
60
−
2
)
+
(
60
)
+
(
60
+
2
)
=
180
Step-by-step explanation:
Three consecutive even numbers can be expressed in terms of
n
. If
n
is an even number then
(
n
−
2
)
,
(
n
)
,
(
n
+
2
)
are three consecutive even numbers.
Therefore
(
n
−
2
)
+
(
n
)
+
(
n
+
2
)
=
180 cm
We can simplify so...
3
n
+
2
−
2
=
180
3
n
+
0
=
180
Divide both sides by
3
to solve for
n
3
n
3
=
180
3
n
=
60
60
is an even integer. Input
60
into the original equation.
(
n
−
2
)
+
(
n
)
+
(
n
+
2
)
=
180
(
60
−
2
)
+
(
60
)
+
(
60
+
2
)
=
180
58
+
60
+
62
=
180
→
check!