Answer:
Any c answer that fits 5
<c<37 is correct.
Step-by-step explanation:
Say the three sides of the triangle are
a
,
b
and
c
. Here,
a
=
16
and
b
=
21
. We must find the possible values of
c
.
Since
a
+
c
>
b
, we can input:
16
+
c
>
21
c
>
5
.
So the lower bound of
c
is everything above
5
.
We also know that
a
+
b
>
c
. Inputting:
16
+
21
>
c
37
>
c
.
So
c
must be less than, but not including
37
.
In conclusion, the side length
c
must satisfy the following inequality:
