# The min value of the sum of the lengths of the hypotenuses

The applet allows to investigate the task : Finding angles of two right-angled triangles for which the sum of the lengths of the hypotenuses is min.
The two right-angled triangles are shown. In addition, there are three variation slide bars: a slide bar along the leg AB=c, a slide bar along the leg A’B’=c’, and a slide bar t for the sum of the legs b+b’. When the vertex C is dragged, the location of the vertex C’ changes in accordance with the sum of the legs b+b’. The sum of the lengths of the hypotenuses of the triangles, and the magnitudes of the angles ACB and A’C’B’ are shown. The min value of the sum of the lengths of the hypotenuses, is obtained when the triangles are similar.

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