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| The midpoint of Tangency (Posted on 2019-04-13) |
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In right angled ΔABC, ∠ABC=90 and ∠BCA=60. The incircle of ΔABC touches sides BC and AB at points D and E respectively. Let F be the midpoint of DE. P, Q, R are the feet of perpendiculars from F on BC, CA, AB respectively.
Find (AB+BC+CA)/(PQ+QR+RP).
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