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# How to divide a right-angled triangle into two isosceles triangles?

With labelling of sides and indicating which ones are equal by using identical labels?

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- PopeLv 71 month ago
The center of the circumcircle of any right triangle is the midpoint of the hypotenuse. Draw a line segment from this point to the right angle vertex. This median cuts the triangle into two triangular parts. Each of them has one vertex on the circle center and the other two on the circumference. That makes two sides radii of the circle, so both triangles are isosceles.

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