Geometry and TrigonometryEasySides of a 45-45-90 triangle
Geometry and Trigonometry practice question
A triangle has angles measuring 90°, 45°, and 45°. Which of the following statements about its sides must be true?
- A. The two legs have the same length.Correct
- B. The hypotenuse has the same length as one leg.
- C. All three sides have the same length.
- D. The hypotenuse is the shortest side.
Answer: A. The two legs have the same length.
Equal angles face equal sides, so the two 45° angles face equal legs.
Why the other answers are wrong
- B. The hypotenuse has the same length as one leg.
- The hypotenuse is longer than either leg.
- C. All three sides have the same length.
- Only an equilateral triangle has three equal sides, and its angles are 60°.
- D. The hypotenuse is the shortest side.
- The hypotenuse is always the longest side.
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