Respuesta :

The given triangle is a right angle triangle. Let x represent the missing side. We would find x by applying the pythagorean theorem which is expressed as

hypotenuse^2 = shorter leg^2 + longer leg^2

From the diagram,

hypotenuse = x

longer leg = 40

shorter leg = 9

By applying the theorem, we have

[tex]\begin{gathered} x^2=9^2+40^2 \\ x^2\text{ = 1600 + 400 = }1681 \\ x\text{ = }\sqrt[]{1681} \\ x\text{ = }41 \end{gathered}[/tex]

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