Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = yards
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Explanation:

Step1: Aplicar el Teorema de Pitágoras

$$c^{2}=a^{2}+b^{2}$$
donde \(a = 9\) y \(b=12\). Entonces \(c^{2}=9^{2}+12^{2}\).

Step2: Calcular \(9^{2}\) y \(12^{2}\)

\(9^{2}=81\) y \(12^{2}=144\). Entonces \(c^{2}=81 + 144\).

Step3: Sumar

\(c^{2}=225\).

Step4: Extraer la raíz cuadrada

\(c=\sqrt{225}\).

Answer:

\(15\) yards