this question was on my test and I don't know which rule to apply to solve. ABCD is a rectangle. Lines goes from A to half of other side and another line goes from D to half of other side OL is 2 cm. What is AO? An image is inserted below.
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Um... your image link does not work. – Franklin Pezzuti Dyer May 31 '17 at 17:29
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and the sidelength of the rectangle? – Dr. Sonnhard Graubner May 31 '17 at 17:31
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we Need $a,b$ from the rectangle – Dr. Sonnhard Graubner May 31 '17 at 17:34
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@Dr.SonnhardGraubner sidelength wasn't given – dummy May 31 '17 at 17:34
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This can be computed without knowing the side lengths. Look for similar triangles. – amd May 31 '17 at 18:50
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Let $M$ be the midpoint of $\overline{AL}$. Then $\triangle{OLD}\sim\triangle{OMK}$, so $DL:KM::OL:OM$. By construction, $DL=\frac12DC$, $KM=\frac34CD$, and of course $AM=OM+OL$. I trust that you can complete the calculation from here.
amd
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