Geometry · Right triangles · Hypotenuse midpoint · Midline · Intercept theorem
Let \(xOy\) be an angle, and let \(A\), \(B\) and \(C\) be points on the arm \(Ox\) such that \(OA = 3\), \(OB = 4\) and \(OC = 6\). Let \(D\) be the foot of the perpendicular dropped from \(B\) to the ray \(Oy\).
Prove that \(CD = 2\,AD\).
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Serbian Municipal Competition 2021, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source