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Example Questions
Example Question #773 : High School Math
A triangle has a perimeter of inches with one side of length
inches. If the remaining two sides have lengths in a ratio of
, what is length of the shortest side of the triangle?
Possible Answers:
Correct answer:
Explanation:
The answer is .
Since we know that the permieter is inches and one side is
inches, it can be determined that the remaining two sides must combine to be
inches. The ratio of the remaining two sides is
which means 3 parts : 4 parts or 7 parts combined. We can then set up the equation
, and divide both sides by
which means
. The ratio of the remaining side lengths then becomes
or
. We now know the 3 side lengths are
.
is the shortest side and thus the answer.
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