Wednesday, January 27, 2010

Problem 422: Triangle, 24, 30 degree, Angle, Congruence

Proposed Problem
Click the figure below to see the complete problem 422 about Triangle, 24, 30 degree, Angle, Congruence.

Problem 422: Triangle, 24, 30 degree, Angle, Congruence.
See also:
Complete Problem 422

Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 3:34 PM
Labels: , , , ,

7 comments:

  1. AnonymousJanuary 28, 2010 at 8:03 AM

    This comment has been removed by a blog administrator.

    ReplyDelete
  2. AnonymousJanuary 31, 2010 at 7:03 PM

    Is the answer 48 degrees????

    ReplyDelete
  3. Antonio GutierrezJanuary 31, 2010 at 9:06 PM

    The answer is not 48 degrees

    ReplyDelete
  4. AnonymousFebruary 1, 2010 at 5:19 AM

    with the formula siny=sin(180-y) and the sine rule in ABD and BDC
    sin24.sin(150-x)=sin30.sinx
    sin(150-x)=sin(30+x)=sin30.cosx+cos30.sinx
    after substitution and division by cosx
    we have
    tanx=sin30.sin24/(sin30-sin24.cos30)=tan54
    x=54
    .-.

    ReplyDelete
  5. AleFebruary 5, 2010 at 5:17 AM

    Here goes again:

    http://img218.imageshack.us/img218/4855/solg.png

    Antonio: i can't directly copy a link when posting here, why? also, do you have any mail so that i can make you some questions?

    ReplyDelete
  6. Antonio GutierrezFebruary 5, 2010 at 6:54 AM

    Ale:
    Try to use html tags on your comments:
    The HTML for a basic link looks like this:
    < a href="http://URL">TEXT< /a>

    This text will be highlighted, and when clicked on, the browser window will go to the address specificed by the URL.

    My email address is on the web pages.

    ReplyDelete
  7. APOSTOLIS MANOLOUDISJune 18, 2016 at 6:29 AM

    Problem 422
    Forming an equilateral triangle ABΕ (D is an interior point of triangle ABE). Then < AEB = 60 = 2.30 = 2.ACB so E is circumcenter of triangle ABC.Therefore AB=BE=AE=EC=DC and
    <EAC=36=<ECA, <EDC=72 so <DEA=<DAE=36 then AD=DE. Is triangle ABD=triangle EBD
    So <DBA=<DBE=30. Therefore <BDC=x=30+24=54.
    APOSTOLIS MANOLOUDIS 4 HIGH SHCOOL OF KORYDALLOS PIRAEUS GREECE

    ReplyDelete

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