Problem #PRU-100640

Problems Geometry Plane geometry Triangles Types of triangles Right-angled triangles Pythagorean theorem and its converse

Problem

Matt has built an additional support for his hut (\(AD\)), whose length is \(12\)ft, and the base \(BC\) is \(25\)ft. We also know \(AB = 20\) and \(AC = 15\). What are the distances \(|BD|\) and \(|DC|\)? Show that \(|AD|^2=|BD| \times |AC|\) in this particular case. Do you think it is true in general?

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