California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What does the term 'hypotenuse' refer to in a right triangle?

  1. The side adjacent to the right angle

  2. The longest side of a right triangle

  3. The smallest angle in the triangle

  4. The perimeter of the triangle

The correct answer is: The longest side of a right triangle

In a right triangle, the hypotenuse is referred to as the longest side of the triangle, which is positioned opposite the right angle. This characteristic makes it distinct from the other two sides of the triangle, which are shorter and are known as the legs. The hypotenuse plays a fundamental role in the Pythagorean theorem, which states that the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides. This relationship is essential for various calculations involving right triangles, such as determining distances, angles, and other geometric properties. Understanding the hypotenuse is crucial when studying triangles in mathematics, particularly in trigonometry and geometry.