Question

Calcule a medida de x:

Answer 1

Primeiro, vamos calcular AB:
$AB^2=12^2+16^2 \\ AB^2=144+256 \\ AB^2=400 \\ AB= \sqrt{400} \\ AB=20$
Depois, vamos calcular HB:
$HB= \frac{CB^2}{AB} \\ \\ HB= \frac{16^2}{20} \\ \\ HB= \frac{256}{20} \\ \\ HB=12,8$
Agora, vamos calcular x usando o teorema de Pitágoras:
$16^2=(12,8)^2+x^2 \\ 256=163,84+x^2 \\ x^2=256-163,84 \\ x^2=92,16 \\ x= \sqrt{92,16} \\ x=9,6$