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Jerry wants to create a right triangle with side lengths 3 millimeters, 5millimeters, and 7 millimeters.

Jerry wants to create a right triangle with side lengths 3 millimeters, 5millimeters-example-1

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Right triangles are those triangle that have an angle whose measure is 90 degrees (which is also called "Right angle").

The Pythagorean Theorem states that:


a^2=b^2+c^2

Where "a" is the hypotenuse (the longest side), and "b" and "c" are the legs of the Right triangle.

In this case, you can determine if Jerry can create a Right triangle with the side lengths given in the exercise, as following:

1. Identify the longest side of the triangle (the hypotenuse):


a=7\operatorname{mm}

2. Identify the legs:


\begin{gathered} b=3\operatorname{mm} \\ c=5\operatorname{mm} \end{gathered}

3. Check if it is a Right triangle using the Pythagorean Theorem:


\begin{gathered} (7\operatorname{mm})^2=(3\operatorname{mm})^2+(5\operatorname{mm})^2 \\ 49mm^2\\e34\operatorname{mm}^2 \end{gathered}

As you can observe, Jerry can't create a Right triangle using those side lengths.

The answer is: Second option.

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