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Find the missing side of the triangle in the simplest radical form.

Find the missing side of the triangle in the simplest radical form.-example-1
User Bill Eisenhauer
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1 Answer

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22 votes

SOLUTION

In a right angle triangle, the hypotenuse is always the side opposite the right angle

Hence, from the image given,


\text{hypotenuse =x}

Apply pythagoras rule i.e the square of the hypotenuse side is equal to the sum of squares of the other two sides“

we have


x^2=3^2+(2\sqrt[]{2})^2

Simplify the expression above


\begin{gathered} x^2=9+4(2) \\ x^2=9+8 \\ x^2=17 \end{gathered}

Take the square root of both sides


\begin{gathered} \sqrt[]{x^2}=\sqrt[]{17} \\ \text{Then} \\ x=\sqrt[]{17}in \end{gathered}

Hence

The missig side in the triangle is √17in

Answer: √17in

User Simmo
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