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A right angled triangle has sides a and b where a<b. If the right angle is bisected then then find the distance between orthocentres of the smaller triangles using coordinate geometry.

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  1. This should help a lot. You can construct the vectors u and v for the two orthocenters, and then just get the magnitude of |u-v|

    http://mathforum.org/library/drmath/view/70440.html

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