1. Given that the tangent is the ratio of the opposite leg to the adjacent leg, we find
the ratio of the opposite AC leg to the adjacent BC leg:
AC / BC = 2.4;
2. For convenience of further calculations, takes the length of the BC leg as x, the AC leg length
3. Using the Pythagorean theorem, we compose the equation:
13 ^ 2 = x ^ 2 + (2.4x) ^ 2;
169 = x ^ 2 + 5.76 x ^ 2 = 6.76 x ^ 2;
x ^ 2 = 169 / 6.76 = 25;
x = 25 centimeters.
Answer: the length of the BC leg is 25 centimeters.
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