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Lukybear

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## Homework Statement

In ΔABC, ∠A = 90°, M is the midpoint of BC and H is the foot of the altitude from A to BC. A circle l is drawn through points A, M and C. The line passing through M perpendicular to AC meets AC at D and the circle l again at P. BP intersects AH at K.

Prove that PM is diameter.

## The Attempt at a Solution

No idea how to do at all. Any help would be appreciated, as this is part 1 of a long question.

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