kenzz8: if a triangle has a side length of 12.5 and a right angle of 27 degrees what is the hypotenuse
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Answer by I like Serena » Fri Jan 24, 2014 10:24 am
The cosine of an angle is the side length divided by the hypotenuse.
cos 27 = 12.5 / hypotenuse.
That means that the hypotenuse = cos 27 / 12.5.
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There are 2 answers to this question,
it would depend upon whether 12.5 was adjacent or opposite the 27 degree angle.
I Like Serena has answered for it being the adjacent but he (Im assuming) messed up a little
cos 27 = 12.5 / hypotenuse. CORRECT
multiply both sides by hyp
Hyp * cos 27 = 12.5
divide both sides by cos 27
Hyp = 12.5 / cos 27
You have to be very careful with questions like these.