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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Incircle
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"
Inscribing Four Circles in a Triangle
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http://demonstrations.wolfram.com/InscribingFourCirclesInATriangle/
Contributed by:
Jay Warendorff
High School Geometry
Plane Geometry
Triangles
Largest Isosceles Triangle Inscribed in a Circle
Four Concyclic Points
Euler's Triangle Formula
Triangle Altitudes and Circumradius
Triangle Altitudes and Inradius
Angle Bisectors in a Triangle
The Perpendicular Bisectors of a Triangle
Circumcenters on a Circle
Dividing a Right Triangle by the Altitude to the Hypotenuse
The Area of a Triangle as Half a Rectangle
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