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

Mathematics

2 answers:

charle [14.2K]3 years ago

5 0

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.

horrorfan [7]3 years ago

3 0

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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