SOLUTION: In a parallelogram ABCD, AB18cm BC 12CM AL is perpendicular DC and AM is perpendicular BC if AL is 6.4cm Find the length of AM.

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Question 991242: In a parallelogram ABCD, AB18cm BC 12CM
AL is perpendicular DC and AM is perpendicular BC
if AL is 6.4cm
Find the length of AM.
Answer by solver91311(24713) About Me  (Show Source):
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Two right triangles are formed by the perpendiculars, namely triangle ADL and triangle ABM. I will leave it as an exercise for the student to prove that these two triangles are similar. By similarity, AL is in proportion to AM as AD is to AB, so:



Solve for

John

My calculator said it, I believe it, that settles it