In ΔABC, if a = c = 16 centimeters and m∠B = 85°, what is b to two decimal places?

Question

Mathematics

Marcel Coffey

8 February, 18:23

In ΔABC, if a = c = 16 centimeters and m∠B = 85°, what is b to two decimal places?

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Answers (1)

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Danielle Mcintosh · Answer 1

The length of side b may be calculated through the Cosine Law. Which can be mathematically expressed as,

b² = a² + c² - 2ac (cos B)

Substituting the given values,

b² = (16 cm) ² + (16 cm) ² - 2 (16 cm) (16 cm) (cos 85°)

b = 21.6189 cm

Thus, the value of b in two decimal places is approximately 21.62 cm.