Respuesta :

I being the intercenter of the triangle means that IA = BI= CI

CI = 52-2X

AI = 3X +7 ==> AI = IC ==> 3X+7 = 52-2X SOLVE FOR X

3X+2X = 52-7 ==> 5X = 45 & X =9

IF X = 9 THEN IC = 52-2(9) = 34. IC =34