Question

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC?

2. And: Given any triangle ABC, with sides a, b, and c opposite angles A, B,
and C, respectively, what can be said about the three ratios a/sinA , b/sinB
, and c/sinC ? This result is known as the Law of Sines.

Answer 1

1. Side AC is also known as b, the side opposite angle B. Use the law of sines. The ratio b/sinB = 2R, where R is the radius of the circumscribed circle.

For a proof, see http://www.pballew.net/lawofsin.html

2. Those ratios are equal for any triangle.

Answer 2

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