Could 35 ever be the product of 10 and another number ? Explain
2 answers:
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Answer:
.
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are ,
, and
:
,
, and
.
In this question, the length of the sides are ,
, and
. The length of these sides should satisfty the following inequalities:
,
, and
.
Since , the inequality
is guarenteed to be satisfied.
Simplify to obtain the inequality
.
Similarly, simplify to obtain the inequality
.
Since needs to be a whole number, the greatest
that satisfies
would be
. Similarly, the least
that satisfies
would be
. Thus,
could be any whole number between
and
(inclusive.)
There are a total of distinct whole numbers between
and
(inclusive.) Thus, the number of possible whole number values for
would be
.