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Given a triangle $\Delta ABC$ with circumcenter $O$, and incenter $I$.

If $∠ABC = 45°$, $OI = d$, and $c − b = d√2$,

Find the value of $\sin A$.

I've thought of using the fact that $d^2 = R(R-2r)$ where $R$ is the circumradius and $r$ is the inradius. But I didn't know where to apply it.

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    "Find the possible value of $\sin A$." makes no sense. Do you mean "Find the possible values of $\sin A$." or "Find the value of $\sin A$."?2012-12-21

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