How to find the length of the side of of an acute / obtuse isosceles triangle - High School Math
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Question
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?
A triangle has a perimeter of
Answer
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.
The answer is
Since we know that the permieter is
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