median
don steward
mathematics teaching 10 ~ 16

Sunday, 30 January 2011

similar triangles


the yellow triangle has sides of lengths 9cm and 12cm

the three triangles are similar

together they form a rectangle



what is the length of the rectangle?



what are the other lengths involved in the diagram?

note that you do not need to use pythagoras
knowing th ratio of the two shorter sides in the central triangle and
the areas of 3 triangles = a rectangle will suffice

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