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In the triangle, angle B is 52 degrees and angle A is 14 degrees. If side c has a length of 17 cm, use the Law of Sines to find the length of side b. Round your answer to the nearest centimeter.
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cm
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Using the Law of Sines:
b / sin B = c / sin C ⇒ b = c * (sin B / sin C).
Here B = 52°, C = 114°, c = 17, so
b = 17 * (sin 52° / sin 114°) ≈ 17 * (0.78801 / 0.91355) ≈ 14.67 cm.
Rounded to the nearest centimeter: 15 cm.
b / sin B = c / sin C ⇒ b = c * (sin B / sin C).
Here B = 52°, C = 114°, c = 17, so
b = 17 * (sin 52° / sin 114°) ≈ 17 * (0.78801 / 0.91355) ≈ 14.67 cm.
Rounded to the nearest centimeter: 15 cm.
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