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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.

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