SOLUTION: Hi, This was an extra credit for my Geometry class (which I'm not doing too well in right now) and I was wondering if you could help.<BR>Thanks so much!!<BR><BR> <a href="http://p

Algebra ->  Triangles -> SOLUTION: Hi, This was an extra credit for my Geometry class (which I'm not doing too well in right now) and I was wondering if you could help.<BR>Thanks so much!!<BR><BR> <a href="http://p      Log On


   

Question 65761: Hi, This was an extra credit for my Geometry class (which I'm not doing too well in right now) and I was wondering if you could help.
Thanks so much!!


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Choose the answer that makes the following statement true. [Remember: the smallest side is opposite the smallest angle.]

HI ______ CD
a. greater than
b. less than
c. can't determine
d. equal to
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
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Choose the answer that makes the following statement true. [Remember: the smallest side is opposite the smallest angle.]

HI ______ CD
highlight%28a%29. 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%2F%28sin%2866%29%29=8%2Fsin%2852%29
HIsin%2866%29%2F%28sin%2866%29%29=8sin%2866%29%2Fsin%2852%29
HI=9.274446608
CD%2Fsin%2866%29=8%2Fsin%2889%29
CDsin%2866%29%2Fsin%2866%29=8sin%2866%29%2Fsin%2889%29
CD=7.30947693
Therefore, HI>CD.
Happy Calculating!!!