Question

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

Answer 1

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

Answer 2

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

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

`AB=18,~~BC=24,~~CA=30.`

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 :

`AB^2+BC^2=CA^2.`

We have

`AB^2=18^2=324,\\\\BC^2=24^2=576,\\\\CA^2=30^2=900.`

So,

`AB^2+BC^2=324+576=900=CA^2.`

Thus, the side lengths will form a pythagorean triple.