Sunday, April 16, 2023

Geometry Problem 1535: Crack the Code: Inscribed Circle in Square - Angle Challenge!

Geometry Problem 1535. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

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Geometry Problem 1535: Crack the Code: Inscribed Circle in Square - Angle Challenge!.

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1 comment:

  1. < BOF = 45 and since KO = OH, < OHK = 22.5.....(1)
    From Right Triangle AFH ; < AFH = arctan (1/2).....(2)

    Now consider Triangle FMH
    < AMK = < FMH = 180 - 22.5 - arctan(1/2) = 157.5 - 26.6 = 130.9 approximately

    Sumith Peiris
    Moratuwa
    Sri Lanka

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