SPI 0806.4.1

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SPI 0806.4.1

• USE THE PYTHAGOREAN THEOREM TO SOLVE CONTEXTUAL
  PROBLEMS.

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EXAMPLE 1
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EXAMPLE 2
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EXAMPLE 3
Laramie leaves the trailhead and hikes 5 miles
east and 9 miles north to a waterfall. What is
the closest distance from the trailhead to the
waterfall? Draw a picture to help solve.
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EXAMPLE 4
Hailey uses a straight piece of wood that is 8
feet long to prop up an old fence. If the
fence is 6 feet tall, how far from the fence is
the bottom of the piece of wood? Draw a picture
to help solve.
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SPI 0806.4.2

• Apply the Pythagorean theorem to find distances
  between points in thecoordinate plane to measure
  lengths and analyze polygons and polyhedra.

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EXAMPLE 5
A right triangle in the coordinate plane has
vertices at (0, 6), (8, 0), and (0, 0). What is
the length of the hypotenuse?
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EXAMPLE 6
To the nearest tenth, what is the distance from R
to T?
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EXAMPLE 7
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EXAMPLE 8
The triangle on the grid represents a section of
Mieshas backyard. What is the length of the
hypotenuse?
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