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A truss is a structure used to support the roofs of houses. Below is a picture of a truss with an enlargement of one right triangle. To the nearest hundredth inch, what is measure of x?

A truss is a structure used to support the roofs of houses Below is a picture of a truss with an enlargement of one right triangle To the nearest hundredth inch class=

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sqdancefan

Answer:

  19.80 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

  28² = x² + x²

  28² = 2x² . . . . . collect terms

  28 = (√2)x . . . . take the square root

  28/√2 = x ≈ 19.79899 ≈ 19.80 . . . . . divide by the coefficient of x and round (dimensions are in inches)

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