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8 Circles Sangaku

Explore this 'sangaku' by moving the red points. If the length of the short side of the triangle is 10 units, find the lengths of the other two sides. What is the radius of each of the 8 circles? What mathematical ideas arise as you explore this applet? Source: https://www.cut-the-knot.org/pythagoras/8CirclesSangaku.shtml