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Question Number 4579 by Rasheed Soomro last updated on 08/Feb/16

In a right triangle, the mid-point of the  hypotenuse is equidistant from all the  three vertices of the triangle.

$${In}\:{a}\:{right}\:{triangle},\:{the}\:{mid}-{point}\:{of}\:{the} \\ $$$${hypotenuse}\:{is}\:{equidistant}\:{from}\:{all}\:{the} \\ $$$${three}\:{vertices}\:{of}\:{the}\:{triangle}. \\ $$

Commented by Yozzii last updated on 08/Feb/16

Prove this theorem?

$${Prove}\:{this}\:{theorem}? \\ $$

Commented by Rasheed Soomro last updated on 09/Feb/16

Yes.

$${Yes}. \\ $$

Answered by Yozzii last updated on 12/Feb/16

Commented by Yozzii last updated on 13/Feb/16

I should have specified that L   respresents the perpendicular bisector  of AB.

$${I}\:{should}\:{have}\:{specified}\:{that}\:{L}\: \\ $$$${respresents}\:{the}\:{perpendicular}\:{bisector} \\ $$$${of}\:{AB}. \\ $$

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