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 ( $A D$ ), whose length is $12$ ft, and the base $B C$ is $25$ ft. We also know $A B = 20$ and $A C = 15$ . What are the distances $| B D |$ and $| D C |$ ? Show that $| A D |^{2} = | B D | \times | A C |$ in this particular case. Do you think it is true in general?

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