My question...

Consider 2 triangles: Triangle PMB and Triangle PLA.

Triangle PLA is contained within Triangle PMB.

Side LA is parallel to Side MB.

Point L is located on Side PM. Point A is located on Side PB.

If the ratio PL:LM = 5, then what is PB:PA ??

My answer key says 8/5 but I can't explain why.

Hi Scott,

My diagram of what you describe is below.

Triangles PMB and PLA are similar so if PL:LM = 5:1 then PA:AB = 5:1. Hence PB:PA = 6:5.

It looks to me as if there is a typo in the problem. I expect that it should say PL:LM = 5:3

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