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If a right triangle has a base of 60 feet and a height of 80 feet, what is the length of the hypotenuse?

  1. 100 feet

  2. 60 feet

  3. 80 feet

  4. 140 feet

The correct answer is: 100 feet

To determine the length of the hypotenuse in a right triangle with a base of 60 feet and a height of 80 feet, the Pythagorean theorem is applied. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In this scenario, the base can be considered as one side (a = 60 feet), and the height as the other side (b = 80 feet). Therefore, the calculation follows: c² = a² + b² c² = (60)² + (80)² c² = 3600 + 6400 c² = 10000 To find the hypotenuse, take the square root: c = √10000 c = 100 feet This measurement correctly indicates the hypotenuse's length, confirming that the answer of 100 feet is accurate.