Friday, March 31, 2023

Geometry Problem 1531: Discover How to Calculate the Length of a Chord in a Circle with Diameter Intersection and an Angle between the Diameter and Chord

Geometry Problem 1531. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1531: Discover How to Calculate the Length of a Chord in a Circle with Diameter Intersection and an Angle between the Diameter and Chord.

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To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

4 comments:

  1. https://photos.app.goo.gl/2dcaP2AXaHV3zjWaA

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  2. https://photos.app.goo.gl/9fGkH4zMqjRk41j9A

    Le M is the midpoint of AB
    DOM is 30-60-90 triangle => OM=1 and MD= sqrt(3)
    MA*MA+OM*OM=OA*OA=3*3
    MA=2.SQRT(2)
    So AD= MA-MD=2.sqrt(2)-sqrt(3)

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  3. Let F be the midpoint of AB.

    OF = 1 and DF = sqrt.3
    AF^2 = 9^2 - 1^1 = 8
    So AF = 2.sqrt.2
    Hence AD = 2.sqrt.2 - sqrt.3

    Sumith Peiris
    Moratuwa
    Sri Lanka

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  4. Hi!. I cannot get access in the solution of P 121?

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