Respuesta :

Given: A right triangle

To Determine: The value of x

Solution

Please note that the longest side of the right triangle is the hypothenuse

Using the Pythagoras theorem

[tex]\begin{gathered} Hypothenuse^2=leg1^2+leg2^2 \\ Therefore \\ x^2=9^2+12^2 \end{gathered}[/tex][tex]\begin{gathered} x^2=81+144 \\ x^2=225 \\ x=\sqrt{225} \\ x=15 \end{gathered}[/tex]

Hence, the missing hypothenuse is 15 units long

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