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In the diagram below,  

For whatever reason it won't let me put an image in so heres the asymptote code for it:
[/​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]

 Sep 18, 2022
 #1
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The answer is 2*sqrt(17).

 Oct 8, 2022

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