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Understanding Right and Acute Triangles: Hypotenuse Properties and Solutions

This worksheet covers key concepts related to right and acute triangles, focusing on the properties of the hypotenuse. It includes solutions to problems involving the identification of triangles, the application of the Pythagorean theorem, and how to determine if a shape is a rectangle. Students will learn that the hypotenuse is the longest side in a right triangle and apply various mathematical principles to solve problems. Ideal for reinforcing geometry fundamentals and enhancing problem-solving skills.

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Understanding Right and Acute Triangles: Hypotenuse Properties and Solutions

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  1. Lesson 9.1-9.2 WSSOLUTIONS

  2. Worksheet SOLUTIONS

  3. a 3

  4. x a

  5. 4 3 3 C = (11, -1)

  6. 5.7 3 x 6.8 4.2426 7.8393 3

  7. Hypotenuse should be the longest side of a right triangle 3 4 R 15 P 20 Q

  8. Worksheet SOLUTIONS

  9. RIGHT ∆ ACUTE ∆ RIGHT ∆ RIGHT ∆

  10. 7 2.5  90° 3.5 Pyththm works A≈ ½ *7* A ≈ 21.2177

  11. 6 3 4 NOT a Rectangle YES a Rectangle Cannot be determined – No hypotenuse given

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