1) Find the area of the given triangle. Round the area to the same number of sig
ID: 2920713 • Letter: 1
Question
1) Find the area of the given triangle. Round the area to the same number of significant digits given for each of the given sides.
A = 117°, b = 14, c = 19
________ square units
2)The following is an efficient three-step procedure for solving an SAS triangle.
Use the above procedure to solve the SAS triangle. (Round your answers to two decimal places.)
b = 129, A = 91.5°, c = 152
B =_____
C =
a =
1. Use the Law of Cosines to find the measure of the side opposite the given angle. 2. Use the Law of Sines to find the measure of the acute angle that is opposite the shorter of the two given sides. 3. The measure of the remaining angle equals 180° minus the sum of the measures of the acute angle found in step 2 and the given angle.Explanation / Answer
Area of triangle = (1/2)b c sin A
A =(1/2) 14* 19 sin 117 = 118.50 square units
2. Using cosine law
a2 = b2+c2-2bc cos A
a2 = 1292+1522-2(129)(152)cos91.5
a = 201.92
Using sine law
sin A/ a = sin B/ b
sin 91.5 / 201.92 = sin B/ 129
B = 39.69
C = 180 -A-B = 48.81 degree
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