Geometry and TrigonometryEasyIs it a right triangle
Geometry and Trigonometry practice question
A triangle has sides of length 7, 24, and 25. Which of the following statements is true?
- A. It is a right triangle, because 7² + 24² = 25².Correct
- B. It is not a right triangle, because 7 + 24 ≠ 25.
- C. It is a right triangle, because 7 + 24 > 25.
- D. It is not a right triangle, because 25 is not a multiple of 7.
Answer: A. It is a right triangle, because 7² + 24² = 25².
49 + 576 = 625 = 25², so the converse of the Pythagorean theorem says it is right-angled.
Why the other answers are wrong
- B. It is not a right triangle, because 7 + 24 ≠ 25.
- Sides don't add; their squares do.
- C. It is a right triangle, because 7 + 24 > 25.
- 7 + 24 > 25 only shows a triangle exists, not that it is right-angled.
- D. It is not a right triangle, because 25 is not a multiple of 7.
- Divisibility has nothing to do with right angles.
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