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15 February, 08:22

Juans house has a rectangular doorway that is 8 feet high and 3 feet wide. Which measurement is the closest to the length of the diagonal of the doorway?

A. 7.4

B. 11.0

C. 8.5

D. 3.3

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Answers (1)
  1. 15 February, 11:07
    0
    The answer to your question is letter C

    Step-by-step explanation:

    Data

    height = h = 8 ft

    width = w = 3 ft

    diagonal = d = ?

    Formula

    We can use the Pythagorean theorem to solve this problem.

    d² = h² + w²

    Substitution

    d² = 8² + 3²

    Simplifying

    d² = 64 + 9

    d² = 73

    Result

    d = 8.5 ft
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