erinblackk
erinblackk erinblackk
  • 16-12-2020
  • Mathematics
contestada

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

- acute
- obtuse
- right
- not a triangle

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 16-12-2020

9514 1404 393

Answer:

  right

Step-by-step explanation:

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

__

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.

_____

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)

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