Question

solve for the unknown variable: a = _ c = 15in b = 9in

Explanation:

Step1: Aplicar el Teorema de Pitágoras

$$a^{2}+b^{2}=c^{2}$$

Step2: Sustituir los valores de \(b\) y \(c\)

$$a^{2}+9^{2}=15^{2}$$
$$a^{2}+81 = 225$$

Step3: Resolver para \(a^{2}\)

$$a^{2}=225 - 81$$
$$a^{2}=144$$

Step4: Calcular la raíz cuadrada de \(a^{2}\)

$$a=\sqrt{144}$$
$$a = 12$$

Answer:

\(a = 12\) in