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Please help

 Aug 3, 2020
 #1
avatar+1084 
+5

Hint: Try using angles and line measures (and some geometric intuition) to find the ratio of ET to TC

 

Extra hint: (congruent triangles/similar triangles?)

 

Even more extra hint: Look at triangles EST and TRC

 

Even even more extra hint: How do we find out what shape SDRQ is?

 

(If you still need help, just ask me!)

:)

 Aug 3, 2020
edited by ilorty  Aug 3, 2020
edited by ilorty  Aug 3, 2020
 #2
avatar+1486 
+3

***Arc  SR is not 106º ***      it's  117.52º   ( you don't need it, anyway)

 

Since the points S, T, and R are tangent points, we have:

 

         ET = SE = 26        |         SD = DR = 32        |       RC = TC = 48

                 ( 26                +                 32                 +                48 ) * 2  = Perimeter  wink

 Aug 3, 2020

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