Question

what is the value of u?

Explanation:

Step1: Aplicar el Teorema de Pitágoras

$$ u^{2}+12^{2}=16^{2} $$

Step2: Simplificar la ecuación

$$ u^{2}+144 = 256 $$

Step3: Despejar \(u^{2}\)

$$ u^{2}=256 - 144 $$

$$ u^{2}=112 $$

Step4: Calcular \(u\)

$$ u=\sqrt{112}=\sqrt{16\times7}=4\sqrt{7} $$

Answer:

\(4\sqrt{7}\)