median
don steward
mathematics teaching 10 ~ 16

Friday, 29 October 2010

pythagoras justification


when shapes are similar their areas are in proportion to the squares of corresponding sides


drop a perpendicular from the apex at the right angle to form two similar triangles (relatively straightforward to justify) which are similar to the original triangle



k(5^2) = k(4^2) + k(3^2) and this generalises...

not that helpful as a means of justifying the theorem maybe, but a neat enough way of tying in the area property of similar shapes

[ from the website betterexplained ]

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