Example 5: In the late 1800’s, settlers created tents by throwing a piece of cloth thrown over two poles secured to the ground with stakes. The cloth tent formed an isosceles triangle. The cloth was 10 meters by 10 meters; the base of the tent (measured from stake to stake) was 6 meters wide. How long were the tent poles? (The poles are perpendicular to the ground.)

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 The height of the pole, one leg of the right triangle, is ___?____.
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 The length of the
hypotenuse of the right triangle is _____?_____.
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 The pole is the
perpendicular
midpoint of the ____?____ of the triangle.
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 The length of the other leg of the right triangle is ____?_____.
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 The Pythagorean Theorem is ______?______
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 Substitute the values for a, b, and c: ______?______
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 Square the numerical values: ______?_______
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 Solve for x^{2}: _____?_____
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 Take the square root of both sides. ____?_____
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 Simplify both radicals. _____?______
***NOTE: Since the radicals represent lengths only the positive value is used.
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 The pole is ___?___ meters long.
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