Asked by hfgnljxghcfjdgj/xk.cbh
If in oblique ΔABC
side a=13
m, side b=6
m, and side c=9
m, then use the Law of Cosines to find the measure of ∠A
.(1 point)
63 degrees
15 degrees
50 degrees
119 degrees
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A.
cos A = (b^2 + c^2 - a^2)/(2bc) = (6^2 + 9^2 - 13^2)/(2·6·9) = (-52)/108 = -13/27.
A = arccos(-13/27) ≈ 119°.
Answer: 119 degrees.
cos A = (b^2 + c^2 - a^2)/(2bc) = (6^2 + 9^2 - 13^2)/(2·6·9) = (-52)/108 = -13/27.
A = arccos(-13/27) ≈ 119°.
Answer: 119 degrees.
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