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In a right triangle, an and b are the lengths of the legs and c is the length of the hypotenuse. If a =39 feet and c =89 feet what is b? If necessary, round to the nearest tenth.

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Respuesta :

mhanifa

b = 80 feet

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Use the Pythagorean theorem.

The 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 legs (a and b), or a² + b² = c².

We are given:

  • a = 39 feet
  • c = 89 feet

We need to find the length of b. First, we can rearrange the Pythagorean theorem to solve for b:

  • b² = c² - a²

Substituting the given values:

  • b² = 89² - 39²
  • b² = 7921 - 1521
  • b² = 6400

Now, take the square root of both sides:

  • b = √6400
  • b = 80 feet

Therefore, the length of leg b is 80 feet.

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