Triangle ABC has side lengths AB=17, AC=25, BC=28 and O is the incenter. What is BO?
See the image here :
B= (17,0) D = the incenter = ( 7,6)
BO = sqrt [ ( 17 -7)^2 + (6 - 0)^2 ] = sqrt [ 10^2 + 6^2 ]= sqrt (136) = 2sqrt (34)