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The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.

13, 14, 17
A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

1 Answer

5 votes

Answer:

  • A. Acute Triangle

Explanation:

Lets verify with Pythagorean:

  • 17² = 289
  • 13² + 14² = 169 + 196 = 365
  • 289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles are less than 90°.

With this the triangle is acute.

Correct choice is A.

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