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Triangle abc is inscribed in a circle of radius 8.24 cm. If <C = 90 degrees and <B = 63 degrees, what are the measurements of side A and side B?

Guest Feb 23, 2015

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 #1
avatar+80983 
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Since <C is 90 degrees, the opposite side to this is the diameter = 16.48. We can find the opposite side b by using the Law of Sines.

b/sin 63 = 16.48/sin90

b = 16.48 sin 63 = about 14.68

"a" can be forund by using the Pythagorean Theorem or the Law of Sines.....so using the Law of Sines, we have that angle A = 90- 63 = 27

a = 16.48sin 27 = about 7.48

 

CPhill  Feb 23, 2015
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1+0 Answers

 #1
avatar+80983 
+5
Best Answer

Since <C is 90 degrees, the opposite side to this is the diameter = 16.48. We can find the opposite side b by using the Law of Sines.

b/sin 63 = 16.48/sin90

b = 16.48 sin 63 = about 14.68

"a" can be forund by using the Pythagorean Theorem or the Law of Sines.....so using the Law of Sines, we have that angle A = 90- 63 = 27

a = 16.48sin 27 = about 7.48

 

CPhill  Feb 23, 2015

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