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In the diagram below, $\angle PQR = \angle PRQ = \angle STR = \angle TSR$, $RQ = 8$, and $SQ = 2$. Find $PQ$. [asy] pair A,B,C,D,E; A = (0, 0.9); B = (-0.4, 0); C = (0.4, 0); D = (-0.275, 0.16); E = (0.11, 0.65); draw(A--B); draw(A--C); draw(B--C); draw(B--E); draw(C--D); label("$P$",A,N); label("$Q$", B, S); label("$R$", C, S); label("$S$", D, S); label("$T$", E, W); [/asy]

 Jun 2, 2020
 #2
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-2

By similar triangles, PQ = 5*sqrt(2).

 Jun 2, 2020
 #4
avatar+1128 
+2

That is the wrong answer

jimkey17  Jun 3, 2020
 #5
avatar+1128 
+1

Still wrong

jimkey17  Jun 4, 2020
 #3
avatar+1128 
+2

That s the wrong answer Î

 Jun 3, 2020
 #6
avatar+1128 
+2

\(\Huge{\text{The image is here}}\)

.
 Jun 4, 2020

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