Geometry

30. PLis the angle bisector of KPM.Which can you conclude from this statement? You also can see this question number 30 on this website.Please add hyperlink.
micahshue.weebly.com/uploads/2/2/5/6/22568286/final_exam_review.pdf
How answer is A and i want to learn how to find a length of KL. Please help.

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  1. Because PL bisects ∡KPM,
    ∡LPJ ≅ ∡LPN
    Since both are right triangles, and they share hypotenuse LL, ∆ LPJ ≅ ∆ LPN by ASA. So, LJ ≅ LN
    Using similar reasoning, using SAS, ∆LJK ≅ ∆LNM.
    So, LN ≅ LJ

  2. oops. typo. they share hypotenuse PL

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