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Find the missing side of this righttriangle.X712X = V[?Enter the number that belongs in the green box.

Find the missing side of this righttriangle.X712X = V[?Enter the number that belongs-example-1

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SOLUTION

We will apply the Pythagoras theorem in solving this.

The Pythagoras theorem states that the square of the hypotenuse, which is the longest side is equal to the sum of the squares of the other two sides.

Here the hypotenuse is x, therefore


\begin{gathered} x^2=7^2+12^2 \\ x^2=\text{ 49+144} \\ x^2=193 \\ x\text{ = }\sqrt[]{193} \\ x\text{ =13.8924} \end{gathered}

Therefore, the answer is 13.89 to the nearest hundredth.

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