A triangle has side lengths of 25in, 30in, and 50 in. Classify it as acute, obtuse, or right. Please help me.

9514 1404 393

  obtuse

Step-by-step explanation:

Using the idea of a "form factor", we find ...

  f = a² + b² - c²

  f = 25² +30² -50² = 625 +900 -2500 = -975

The form factor is negative, so the triangle is obtuse.

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Additional comment

The form factor, as defined above, classifies the triangle according to its sign:

  f > 0 . . . acute

  f = 0 . . . right

  f < 0 . . . obtuse

The largest angle in the triangle can be found from ...

  cos(C) = f/(2ab)

Here, it is C = arccos(-975/1500) ≈ 130.5416°

7

step-by-step explanation:

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step-by-step explanation:

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