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Let A,B,C be three angles such that A = ...

Let A,B,C be three angles such that `A = pi/4` and `tan B* tan C=p` Find all possible values of p such that A, B, C are three angles of a triangle.

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The correct Answer is:
`p in ]- oo 3-2 sqrt(2)] cup [3+2 sqrt(2), oo]`
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