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This document provides a mathematical exercise applying the Pythagorean theorem to calculate the length of a triangle side.
[...] According to the Pythagorean theorem, we have: So: The length BC is therefore 500m. Since D is the image of B by homothety of center C and ratio -2.5, we have: The length Cd is therefore 1250 m. Two possibilities for the sequel: Method Since E is the image of A by homothety of center C and ratio -2.5, we have: The length CE is therefore 1000 m. A homothety preserves angles, so we can consider that the triangle CDE is similar to triangle E. [...]
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