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In the diagram below, we have \(\angle PQR = \angle PRQ = \angle STR = \angle RST\), $QR = 8$, and $QS = 2$. Find $PQ$.

 Mar 30, 2020
 #1
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Hello guest!

 

Here is a hint: Can you prove triangle QPT and RQS similar? If so, you can use proportions to solve!

 

I just can't find a way to use proportions to solve it!

 Mar 30, 2020
edited by AnExtremelyLongName  Mar 30, 2020
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By similar triangles, PQ = 8*sqrt(2).

 Mar 31, 2020

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