median
don steward
mathematics teaching 10 ~ 16

Wednesday, 4 April 2012

trapped semicircle

another problem, slightly extended, from aplusclick

a semicircle is inscribed in a right angled triangle with sides ( a , b,  c )

what is the radius of this semicircle if
  ( a , b , c ) =

1)   ( 6 ,  8 , 10 )
2)   ( 15 , 36 , 39 )
3)   ( 28 , 96 , 100 )



what patterns are there in these triples and the resulting radius?
what would the next few be?

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