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8.2 The Pythagorean Theorem & Its Converse
Objective: Use the pythagorean theorem and its converse.
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Work puzzles that demonstrate pythagoren theorem physically.
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Find x. Find x.
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Use a Pythagorean triple to find x. Explain your reasoning.
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Use a Pythagorean triple to find x.
A 20-foot ladder is placed against a building to reach a window that is 16 feet above the ground. How many feet away from the building is the bottom of the ladder?
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Determine whether 9, 12, and 15 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer. Determine whether 10, 11, and 13 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.
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Determine whether the set of numbers 7, 8, and 14 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer. Determine whether the set of numbers 14, 18, and 33 can be the measures of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.
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