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In a triangle ABC if 2c 2 =a 2 +b 2 then the largest possible degree measure of the angle C is

In a triangle ABC if 2c2=a2+b2 then the largest possible degree measure of the angle C is

Grade:11

1 Answers

GAGANDEEP SINGH
46 Points
4 years ago
I think it`s 60°I applied cosine formula on cos C to get cosC=c^2/2ab. Then applied AM-GM inequality on (a^2,b^2) to get c^2/2ab>=1/2. Then applied arc cos function on the the former to get the answer.

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