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- Find the missing side of each right triangle, exactly and to the nearest hundredth:a = 12,\; b = 35b = 45,\; c = 53a = 2,\; b = 5a = 6,\; c = 11a = 0.9,\; b = 1.2
- Estimate a hypotenuse between two whole numbers without a calculator.
- Find what is wrong with a student's calculation of a leg.
- Decide whether right triangles with given sides can exist using the theorem.
- Use the letters to find the hypotenuse, then the side asked for:
- Word problem: can a round tabletop be tilted through a 35 inch by 84 inch doorway?
- Word problem: the length of wire for a picture hanging from one nail.
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The Pythagorean theorem: the lesson ›More Chapter 11 worksheets: The Pythagorean theorem and distance
- 11.1The Pythagorean theorem
- 11.2Proving the Pythagorean theorem by rearrangement
- 11.3Converse of the Pythagorean theorem
- 11.4Using the Pythagorean theorem
- 11.5The Pythagorean theorem in three dimensions
- 11.6Pythagorean triples
- 11.7The distance formula