Triangle ABC is a right triangle. the length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters.What is the length, in the centimeters, of the other leg?Round to the nearest tenth.

Respuesta :

Let's take a look at our triangle:

(drawing not to scale)

Using the Pythagorean Theorem, we would have that:

[tex]80^2+x^2=120^2[/tex]

Solving for x :

[tex]\begin{gathered} 80^2+x^2=120^2 \\ \rightarrow x^2=120^2-80^2 \\ \rightarrow x^{}=\sqrt[]{120^2-80^2} \\ \Rightarrow x=89.4\operatorname{cm} \end{gathered}[/tex]

We get that the other leg is 89.4 cm

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