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Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple?

Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple?
asked 163k views
4 votes
Triangle ABC has side lengths 7, 24, and 25. Do the side lengths form a Pythagorean triple?

asked
User Marth
by
7.2k points

1 Answer

4 votes
They do.

According to the Pythagorean theorem:
c² = a² + b²

In a right triangle, the longest side is actually a hypotenuse: c = 25
a = 7
b = 24

25² = 7² + 24²
625 = 49 + 576
625 = 625

Therefore, the side lengths form a Pythagorean triple
answered
User Simon Bengtsson
by
8.0k points
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