Tuesday, May 18, 2010

Problem 457: Triangle, Brocard Point, Congruent angles, Circle, Circumradius

Geometry Problem
Click the figure below to see the complete problem 457 about Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

Problem 457: Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.
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Complete Problem 457

Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 11:00 AM
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1 comment:

  1. AnonymousMay 19, 2010 at 7:48 AM

    in triangle ABC
    a/sinA=b/sinB=c/sinC=2R
    abc/(sinA.sinB.sinC)=8R^3
    in triangle APC
    ang(APC)=180-C
    b/sin(180-C)=b/sinC=2e
    in triangle BPC
    ang(BPC)=180-B
    a/sinB=2d
    in triangle BPA
    ang(BPA)=180-A
    c/sinA=2f
    hence abc/(sinA.sinB.sinC)=8def=8R^3
    R^3=def
    .-.

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