Thursday, August 20, 2009

Problem 342. Pentagon, Inscribed Circle, Tangent, Semiperimeter

Proposed Problem
Click the figure below to see the complete problem 342 about Pentagon, Inscribed Circle, Tangent, Semiperimeter.

Problem 342. Pentagon, Inscribed Circle, Tangent, Semiperimeter.
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Complete Problem 342
Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 7:13 AM
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1 comment:

  1. yassin-NAugust 21, 2009 at 9:00 AM

    We have : AF=AN , FB=BG , CG=CH , HD=DM & EM=EN.
    s=(AB+BC+CD+DE+FA)/2
    s=(AF+FB+BG+GC+CH+HD+DM+ME+EN+NA)/2
    s=(AF+FB+FB+CH+CH+HD+HD+EN+EN+AF)/2
    s=AF+FB+CH+HD+EN
    s=AB+CD+EN

    We have: s=(AF+FB+BG+GC+CH+HD+DM+ME+EN+NA)/2
    s=(AN+BG+BG+CG+CG+DM+DM+ME+ME+AN)/2
    s=AN+BG+CG+DM+ME
    s=AN+BC+DE

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