Question

Triangle ABC has side lengths 3, 4, and 5. do the side length s form a Pythagorean triangle?

Answer 1

I believe the term would be a Pythagorean TRIPLE.
and yes 3, 4 and 5 are a Pythagorean Triple,

Answer 2

Answer: Yes, the side lengths will form a Pythagorean triple.

Step-by-step explanation: We are given that triangle ABC has side lengths 3, 4 and 5 units.

We are to check whether the side lengths form a Pythagorean triple.

The Pythagorean triple is

Hypotenuse² = Perpendicular² + Base².

Now, for the given triangle ABC, let AB = 3 units, BC = 4 units and CA = 5 units.

Then, we have

`AB^2+BC^2=3^2+4^2=9+16=25,\\\\CA^2=5^2=25.`

Therefore, we get

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

Thus, the side lengths will form a Pythagorean triple with side CA as the hypotenuse.