Question 65761
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Choose the answer that makes the following statement true. [Remember: the smallest side is opposite the smallest angle.]<BR>
HI ______ CD

{{{highlight(a)}}}. greater than
b. less than
c. can't determine
d. equal to
Using the law of sines and the fact that the inner angles are equal to 66 because 180-52-62=66.
{{{HI/(sin(66))=8/sin(52)}}}
{{{HIsin(66)/(sin(66))=8sin(66)/sin(52)}}}
{{{HI=9.274446608}}}
{{{CD/sin(66)=8/sin(89)}}}
{{{CDsin(66)/sin(66)=8sin(66)/sin(89)}}}
{{{CD=7.30947693}}}
Therefore, HI>CD.  
Happy Calculating!!!