81.1k views
5 votes
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

1 Answer

0 votes

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.

User Kaleazy
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories