Imagine an expanding right triangle. If one leg has a fixed length of {{MATH_74}} m, one leg is increasing with a rate of {{MATH_75}} m/s, and the hypotenuse is expanding to accommodate the expanding leg, at what rate is the hypotenuse expanding when both legs are {{MATH_76}} m long? {{CMD_77}} First, we {{CMD_78}}introduce the variables{{CMD_79}} {{MATH_80}}, {{MATH_81}}, and {{MATH_82}}, denoting the fixed length, the length of a leg that is increasing, and the length of the hypotenuse, in that order. Then, we {{CMD_83}}identify{{CMD_84}} the given rate {{MATH_85}} m/s and the unknown rate {{MATH_86}}, when {{MATH_87}}. Now, we {{CMD_88}}draw a picture{{CMD_89}}. {{CMD_90}} {{ENV_91}} {{CMD_92}}