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xeze [42]
4 years ago
13

Find the measure of

Mathematics
1 answer:
sergij07 [2.7K]4 years ago
4 0

Answer:

∠ ABC ≈ 137.9°

Step-by-step explanation:

Using the Cosine rule in Δ ABC

cos B = \frac{a^2+c^2-b^2}{2ac}

with a = 89, b = 144, c = 65

cos B = \frac{89^2+65^2-144^2}{2(89)(65)} = \frac{7921+4225-20736}{11570} = \frac{-8590}{11570} , thus

B = cos^{-1} ( - \frac{8590}{11570} ) ≈ 137.9° ( to the nearest tenth )

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