1.) The following is an efficient three-step procedure for solving an SSS triang
ID: 2920715 • Letter: 1
Question
1.) The following is an efficient three-step procedure for solving an SSS triangle.
Use the above procedure to solve the SSS triangle. (Round your answers to two decimal places.)
a = 206, b = 330, c = 156
A =
B =
C =
2.)Solve the triangle. (Round your answers to two decimal places.)
B = 81.0°, b = 7.0, c = 4.0
3.)Solve the triangle. (Round your answers to two decimal places.)
C = 114.6°, c = 87.8, b = 12.7
A =
B =
a =
1. Use the Law of Cosines to find the measure of the angle opposite the longest side. 2. Use the Law of Sines to find the measure of one of the remaining acute angles. 3. The measure of the third angle equals 180° minus the sum of the measures of the angles found in steps 1 and 2.Explanation / Answer
1. Using cosine law
a2 = b2+c2-2bc cos A
2062=3302+1562-2(330)(156) cos A
42436 = 108900 + 24336 - 102960 cos A
A = 28.13 degree
Using sine law
sin A/a = sin B/b
sin 28.13 /206 = sin B/330
B = 49.05 degree
C = 180-A-B = 102.83 degree
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