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Solve junior high school math problems
In f, the o OF⊥BC is above, and the a of AM⊥OF m is above.

∫ quadrilateral ABDE is a square,

∴∠AOB=90,OA=OB,

∴∠AOM+∠BOF=90,

∠ amo = 90。

∴∠AOM+∠OAM=90,

∴∠BOF=∠OAM,

At △AOM and △BOF,

AMO=∠OFB=90 degrees

∠OAM=∠BOF

OA=OB,

∴△AOM≌△BOF(AAS),

∴AM=OF,OM=FB,

∠ ACB =∠ AMF =∠ CFM = 90,

∴ Quadrilateral ACFM is rectangular,

∴AM=CF,AC=MF=5,

∴OF=CF,

∴△OCF is an isosceles right triangle,

∫CF = OF = BC-FB = BC-OM = BC-(OF-AC)= 9-OF+5 = 14-OF

Then 2CF= 14, CF=OF=7.

Pythagorean Theorem: OC? =2OF?

OC=√2? OF=7√2