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Inscribing Four Circles in a Triangle
Inscribe a circle in a triangle; let
denote its radius. Construct tangents to the inscribed circle parallel to the sides of the triangle. Construct inscribed circles within each of the smaller triangles with radii
,
, and
. Then
.
Contributed by:
Jay Warendorff
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"
Inscribing Four Circles in a Triangle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/InscribingFourCirclesInATriangle/
Contributed by:
Jay Warendorff
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Related Topics
Plane Geometry
Triangles
High School Geometry
High School Mathematics
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-C.A.3