Question

Solve the following triangle and show your work. Given side a = 8m, side b = 11m, side c = 13m, Angle A, Angle B, and Angle C.

Answer 1

To solve the triangle, you can use the Law of Cosines or the Law of Sines. Calculate the value of angle C using the Law of Cosines, and then find angles A and B using the Law of Sines.

Step-by-step explanation:

To solve the triangle, we can use the Law of Cosines or the Law of Sines. Since we have the values for all sides and angles, we can use the Law of Cosines. The formula is c² = a² + b² - 2ab*cos(C), where c is the side opposite angle C. Plugging in the values, we get 13² = 8² + 11² - 2(8)(11)*cos(C). Simplifying this equation will give us the value of angle C.

Using the Law of Sines, we can find the values of angles A and B. The formula is: a/sin(A) = b/sin(B) = c/sin(C). Substitute the known values and solve for angles A and B.

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