Problema Solution

john walks on a path forming a right triangle,whose hypotense is 39m.One leg is 21m longer than the other.

Answer provided by our tutors

let


c = 39 m the hypotenuse


a and a + 21, are the legs and a>0


using the Pythagorean Theorem we have:


a^2 + (a + 21)^2 = c^2


a^2 + (a + 21)^2 = 39^2


by solving we find:


a = 15 m


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a + 21 = 15 + 21 = 36 m


the legs are 15 m and 36 m.