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

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

Guest Mar 30, 2020

AnExtremelyLongName · Answer 1 · 2020-03-30T03:48:50

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!

Guest · Answer 2 · 2020-03-31T03:54:12

By similar triangles, PQ = 8*sqrt(2).