8.2 The Pythagorean Theorem & Its Converse

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8.2 The Pythagorean Theorem & Its Converse Objective: Use the pythagorean theorem and its converse.

Work puzzles that demonstrate pythagoren theorem physically.

Find x. Find x.

Use a Pythagorean triple to find x. Explain your reasoning.

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?

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.

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.