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Geometry Problem 975: Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse. Levels: School, College, Mathematics Education

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The figure shows an isosceles right triangle ABC. If AD is the bisector of angle BAC prove that: AC = AB + BD.
 

Geometry Problem 975: Isosceles Right Triangle, 45 Degrees, Angle Bisector, Hypotenuse
 

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