URGENT HELP NEEDED WITH TRIANGLES/CIRCLES! IF ET = 31, DE = 65, AND DC= 74, FIND THE PERIMETER OF DCE.

ES = ET
and
DS = DR
and
CR = CT ( because each pair are tangents to the circle)
So ES = 31 and Ds = 65-31 = 34
and DR = 34 and CR = 74- 34 = 40.
CT = CR = 40
Therfore the line EC = 31 + 40 = 71
Finally the perimeter = 65 + 74 + 71 = 210 (answer)