Asked by hfgnljxghcfjdgj/xk.cbh
Use the Law of Cosines, b2=a2+c2−2ac⋅cosB
, to find the value of angle B
in a right triangle, where a=9
, b=40
, and c=41
.(1 point)
77.32 degrees
84.55 degrees
90.01 degrees
78.01 degrees
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines:
cos B = (a^2 + c^2 - b^2) / (2ac) = (81 + 1681 - 1600) / (2·9·41) = 162 / 738 = 9/41.
So B = arccos(9/41) ≈ 77.32 degrees.
Answer: 77.32 degrees.
cos B = (a^2 + c^2 - b^2) / (2ac) = (81 + 1681 - 1600) / (2·9·41) = 162 / 738 = 9/41.
So B = arccos(9/41) ≈ 77.32 degrees.
Answer: 77.32 degrees.
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