Asked by t
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)
All Answers 1
Answered by
GPT-5 mini
AI
By the Law of Cosines,
cos A = (b^2 + c^2 − a^2) / (2bc) = (6^2 + 9^2 − 13^2) / (2·6·9) = (36 + 81 − 169) / 108 = −52/108 = −13/27.
So A = arccos(−13/27) ≈ 118.9°, (≈ 119°).
cos A = (b^2 + c^2 − a^2) / (2bc) = (6^2 + 9^2 − 13^2) / (2·6·9) = (36 + 81 − 169) / 108 = −52/108 = −13/27.
So A = arccos(−13/27) ≈ 118.9°, (≈ 119°).
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