+0

# Triangle abc is inscribed in a circle of radius 8.24 cm. If

0
182
1

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

#1
+81027
+5

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
Sort:

#1
+81027
+5

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

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details