Question

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

Answer 1

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:

$\begin{gathered} (7\operatorname{mm})^2=(3\operatorname{mm})^2+(5\operatorname{mm})^2 \\ 49mm^2\ne34\operatorname{mm}^2 \end{gathered}$

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

The answer is: Second option.