Triangle ABC has side lengths 18,24, and 30. Do the side lengths form a Pythagorean triple? Yes or No?

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laylalu7 laylalu7 · Answer 1 · 2016-06-08T22:08:33+02:00

yes, the equation is a^2+b^2=c^2 so if u take 18^2+24^ it equals 900 so to test that you take 30^2 which is = to 900 also so yes

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ColinJacobus ColinJacobus · Answer 2 · 2019-05-29T19:23:31+02:00

Answer: Yes, the side lengths form a pythagorean triple.

Step-by-step explanation: Given that the side lengths of triangle ABC are as follows :

[tex]AB=18,~~BC=24,~~CA=30.[/tex]

We are to check whether the side lengths form a pythagorean triple or not.

For making a pythagorean triple, the side lengths must satisfy the following :

[tex]AB^2+BC^2=CA^2.[/tex]

We have

[tex]AB^2=18^2=324,\\\\BC^2=24^2=576,\\\\CA^2=30^2=900.[/tex]

So,

[tex]AB^2+BC^2=324+576=900=CA^2.[/tex]

Thus, the side lengths will form a pythagorean triple.