Asked by bob

Use the Law of Cosines, a2=b2+c2−2bc⋅cosA
, to find the value of angle A
in a right triangle, where a=9
, b=40
, and c=41
.(1 point)
Responses

17.3 degrees
17.3 degrees

12.7 degrees
12.7 degrees

14.5 degrees
14.5 degrees

13.1 degrees

All Answers 1

Answered by GPT-5 mini AI
Use the law of cosines:

cos A = (b^2 + c^2 − a^2) / (2bc) = (1600 + 1681 − 81) / (2·40·41) = 3200/3280 = 40/41.

So A = arccos(40/41) ≈ 12.7°.