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?
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
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