chaepaoosalma
chaepaoosalma chaepaoosalma
  • 25-07-2016
  • Mathematics
contestada

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

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meerkat18
meerkat18 meerkat18
  • 30-07-2016
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. 
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