CEMC Euclid, 2010

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

In the diagram, points $P(p, 4)$ , $B(10, 0)$ , and $O(0, 0)$ are shown. If $\triangle OPB$ is right-angled at $P$ , determine all possible values of $p$ .

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