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Sveta_85 [38]
3 years ago
8

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

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
8 0
I believe the term would be a Pythagorean TRIPLE.
and yes 3, 4 and 5 are a Pythagorean Triple,

Over [174]3 years ago
7 0

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

<em>Hypotenuse² = Perpendicular² + Base².</em>

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.

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