This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: TAV is j/2 (note that triangles SBU and SBR are congruent). Using a half angle formula and the labels on the graph this gives r/x = tan(q/2) = sin q/(1 + cos q), and x = r ( c + a ) / b r/y = tan(j/2) = sin j/(1 + cos j), and y = r ( c + b ) / a . Therefore 2 r + r ( c + a )/ b + r ( c + b )/ a = c . A little algebra (using the fact that a 2 + b 2 = c 2 ) gives that r = a b c ( a + b )( a + b + c )...
View
Full
Document
 Spring '10
 AlbertoDelgado
 Combinatorics

Click to edit the document details