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If AB=15 and AC= 25, find AD.
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10
first find BC using Pythagorus
then for the smaller right triangles, you know:\[AD^2+BD^2=15^2\]\[CD^2+BD^2=BC^2\]\[AD+CD=25\]you then have enough equations to be able to work out what AD is.
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|dw:1322434104926:dw| start by using the Pythagorean theorem to find BC : 15^2 + BC^2 = 25^2 now move the 15^2 over to the other side by subtraction : BC^2 = 10^2 now take the square root of each to remove the squares : BC = 10 so, now you need to find AD
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