what is the length of the missing leg? if necessary, round to the nearest tenth. a = feet

what is the length of the missing leg? if necessary, round to the nearest tenth. a = feet

what is the length of the missing leg? if necessary, round to the nearest tenth. a = feet

Answer

Explanation:

Step1: Aplicar el teorema de Pitágoras

Sea el lado hipotenusa $c = 6.8$ ft y uno de los catetos $b = 6.1$ ft. El teorema de Pitágoras es $a^{2}+b^{2}=c^{2}$, entonces $a=\sqrt{c^{2}-b^{2}}$.

Step2: Sustituir valores

$a=\sqrt{(6.8)^{2}-(6.1)^{2}}=\sqrt{46.24 - 37.21}=\sqrt{9.03}$.

Step3: Calcular y redondear

$a=\sqrt{9.03}\approx3.0$ ft.

Answer:

$3.0$