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Classify a triangle with side lengths 5, 12, and 13.

- acute
- obtuse
- right
- not a triangle

User Mjaggard
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1 Answer

3 votes

9514 1404 393

Answer:

right

Explanation:

You should recognize that (5, 12, 13) is a Pythagorean triple, so are the lengths of sides of a right triangle.

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In any event, you can check to see.

5² +12² = 25 +144 = 169 = 13²

The side lengths satisfy the Pythagorean theorem, so correspond to sides of a right triangle.

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Some Pythagorean triples commonly seen in algebra, geometry, and trig problems are ...

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

User Sovas
by
5.5k points