Problem

3. In ABC, if c=8.5 cm,b=7 cm, and A=52. Solve the triangle. Include a sketch of the triangle.

Answer

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Answer

Final Answer: The measures of the sides and angles of the triangle are a=6.93cm,B=52.78degrees, and C=126.32degrees.

Steps

Step 1 :We are given a triangle ABC with side lengths c = 8.5 cm, b = 7 cm, and angle A = 52 degrees.

Step 2 :We can use the Law of Sines to find the other angles and the Law of Cosines to find the third side.

Step 3 :Using the Law of Sines, we find that angle A = 0.908 radians, which is approximately 52 degrees.

Step 4 :Using the Law of Cosines, we find that side a = 6.93 cm.

Step 5 :Using the Law of Sines again, we find that angle B = 52.78 degrees and angle C = 126.32 degrees.

Step 6 :Final Answer: The measures of the sides and angles of the triangle are a=6.93cm,B=52.78degrees, and C=126.32degrees.

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