How would you go about doing this problem?

Make TriKML congruent to TriQMP from hw1, #5. Then prove TriPTM congruent to TriLRM. Then use algebra and the theorems for isosceles triangles to prove RS=TS. Hope that helps

Ideally, you want to get PRS equivalent to LTS, to do this you want to have a statement about equal line segments such as MT and MR being subtracted out of line segments ML and MP respectively so that you can get the length of LT and PR such that you an set those two triangles as equals and this will get you to RS=TS

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