In the square ABCD, P is a point on the diagonal AC, PE ⊥ AB, PF ⊥ BC, and the perpendicular feet are E.F PD.EF Of

In the square ABCD, P is a point on the diagonal AC, PE ⊥ AB, PF ⊥ BC, and the perpendicular feet are E.F PD.EF Of

Extend EP to DC in G,
ABCD is a square, ab ∥ DC, because PE ⊥ AB, so PG ⊥ DC, AE = DG,
Diagonal AC, PE ⊥ AB, PF ⊥ BC, so pf = GC = PG, PE = AE = DG,
PD²=DG²+PG²=PE²+PF²=EF²,
So PD = EF

Elden Ring Premiere

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