Question

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

Answer 1

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)