<PRE><B>Question 954437</B>
A). There are two possible lengths for the third side: one as the hypotenuse and one with the 15 foot side as the hypotenuse. 
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B). 
{{{a^2+b^2=c^2}}}
{{{14^2ft^2+15^2ft^2=c^2}}}
{{{196ft^2+225ft^2=c^2}}}
{{{421ft^2=c^2}}}
{{{20.5ft=c}}} ANSWER: One possibility is 20.5 feet.
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{{{b^2=c^2-a^2}}}
{{{b^2=15^2ft^2-14^2ft^2}}}
{{{b^2=225ft^2-196ft^2}}}
{{{b^2=29ft^2}}}
{{{b=5.4ft}}} ANSWER: The other possibility is 5.4 feet.
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C). 
Area for choice a={{{(1/2)bh=(1/2)(14ft)(15ft)}}}={{{105ft^2}}}
Area for choice b={{{(1/2)bh=(1/2)(5.4ft)(14ft)}}}={{{75.6ft^2}}}
ANSWER: The farmer should choose 20.5 feet for the third side.
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D)
arctan(14/15)=43 degrees 
90 degrees-43 degrees=47 degrees
ANSWER: With the third side 20.5 feet, the angles are 43 and 47 degrees.
arctan(5.4/14)=21 degrees 
90 degrees-21 degrees=69 degrees
ANSWER: With the third side 5.4 feet, the angles are 21 and 69 degrees.







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