▁In ▁any ▁right ▁triangle ▁the ▁diameter ▁of ▁the ▁inc irc le ▁is ▁less ▁than ▁half ▁the ▁hyp oten use , ▁and ▁more ▁strongly ▁it ▁is ▁less ▁than ▁or ▁equal ▁to ▁the ▁hyp oten use ▁times ▁▁ ▁In ▁a ▁right ▁triangle ▁with ▁legs ▁a , ▁b ▁and ▁hyp oten use ▁c , ▁ ▁with ▁equality ▁only ▁in ▁the ▁is os cel es ▁case . ▁ ▁If ▁the ▁alt itude ▁from ▁the ▁hyp oten use ▁is ▁denoted ▁h c , ▁then ▁ ▁with ▁equality ▁only ▁in ▁the ▁is os cel es ▁case . ▁ ▁Other ▁properties ▁If ▁segments ▁of ▁lengths ▁p ▁and ▁q ▁em an ating ▁from ▁vertex ▁C ▁tr is ect ▁the ▁hyp oten use ▁into ▁segments ▁of ▁length ▁c / 3 , ▁then ▁ ▁The ▁right ▁triangle ▁is ▁the ▁only ▁triangle ▁having ▁two , ▁rather ▁than ▁one ▁or ▁three , ▁distinct ▁ins cribed ▁squares . ▁ ▁Given ▁h ▁> ▁k . ▁Let ▁h ▁and ▁k ▁ ▁be ▁the ▁sides ▁of ▁the ▁two ▁ins cribed ▁squares ▁in ▁a ▁right ▁triangle ▁with ▁hyp oten use ▁c . ▁Then ▁ ▁These ▁sides ▁and ▁the ▁inc irc le ▁radius ▁r ▁are ▁related ▁by ▁a ▁similar ▁formula : ▁ ▁The ▁per imeter ▁of ▁a ▁right ▁triangle ▁equals ▁the ▁sum ▁of ▁the ▁rad ii ▁of ▁the ▁inc irc le ▁and ▁the ▁three ▁exc ir cles : ▁ ▁See ▁also ▁ ▁Ac ute ▁and ▁obt use ▁tri angles ▁( ob lique ▁tri angles ) ▁ ▁References ▁ ▁External ▁links ▁▁ ▁Calcul ator ▁for ▁right ▁tri angles ▁ ▁Advanced ▁right ▁triangle