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Question

Question
Use the Law of Sines or the Law of Cosines to solve each triangle. (DRAW TRIANGLES ON YOUR WORKSHEET - IT WILL HELP!) Round all angle measures to the nearest tenth of a degrees and side lengths to the nearest tenth. A=40°,a=15cm,b=8cm Given? SSA SS ° Use: Law of Sines quad◻^(✓)0^(oo) Triangle B=◻" degrees " B=◻" degrees " C=sigma^(oo) c=◻° degrees ✓^(2) degrees degrees quadv^(')0^(s) centimeters

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Johnny

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Answer

B = 20.6 degrees, C = 119.4 degrees, c = 20.4 cm

Explanation

This is a problem of solving a triangle using the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle. In this case, we are given two sides (a and b) and the angle opposite one of them (A). We can use the Law of Sines to find the other angles and the remaining side.First, we find angle B using the formula:sin(B) = b*sin(A) / aThen, we find angle C by subtracting A and B from 180 degrees (since the sum of the angles in a triangle is 180 degrees).Finally, we find side c using the Law of Sines again:c = a*sin(C) / sin(A)