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mhanifa

68 units

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The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Using this theorem, we can find the length of the hypotenuse as follows:

Write down the Pythagorean theorem:

  • a² + b² = c²

Substitute the given values for a and b:

  • 32² + 60² = c²

Calculate the squares and add them:

  • 1024 + 3600 = c²

Simplify:

  • 4624 = c²

Take the square root of both sides to solve for c:

  • c = √4624

Simplify the square root:

  • c = 68

Therefore, the length of the hypotenuse is 68 units.

Final answer:

Using the Pythagorean Theorem, a right triangle with legs of 32 and 60 has a hypotenuse of length 68.

Explanation:

To find the length of the hypotenuse of a right triangle with sides measuring 32 and 60 using the Pythagorean Theorem, we apply the formula a² + b² = c², where a and b represent the lengths of the legs, and c represents the length of the hypotenuse. Plugging in the given values, we get:

32² + 60² = c²

Solving for c, we find:

c = √(32² + 60²)

c = √(1024 + 3600)

c = √4624

c = 68

Therefore, the length of the hypotenuse is 68.