Answered

IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

Determine if the side lengths form a right triangle. If not, is the longest side too long or too short ? 9,40,41

Sagot :

We know that a right triangle satisfies the pythagorean theorem:

[tex]c^2=a^2+b^2[/tex]

where a and b are the legs (the two smaller sides) and c is the hypotenuse.

To determine if the sides form a right triangle we plug the values into the pythagorean theorem, if the equation holds then the sides form a right triangle:

[tex]\begin{gathered} 41^2=40^2+9^2 \\ 1681=1600+81 \\ 1681=1681 \end{gathered}[/tex]

Since the equation holds we conclude that the sides given form a right triangle.

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.