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Pythagorean Theorem Assessment
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Pythagorean Theorem Assessment
📚 Part 1: Multiple Choice
Choose the best answer for each question.
1. What is the Pythagorean theorem?
a + b = c
a² + b² = c²
a² - b² = c²
a + b² = c²
2. In a right triangle, the hypotenuse is:
The shortest side
The longest side
Always equal to one of the legs
The side opposite the smallest angle
3. A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?
7
5
12
25
✏️ Part 2: Short Answer
4. Explain when you can use the Pythagorean theorem. What type of triangle must you have?
5. If you know the hypotenuse is 13 feet and one leg is 5 feet, write the equation you would use to find the other leg. (Do not solve.)
🔢 Part 3: Problem Solving
Show all your work. Round answers to the nearest tenth if necessary.
6. A ladder is leaning against a wall. The ladder is 12 feet long and the bottom of the ladder is 5 feet from the base of the wall. How high up the wall does the ladder reach?
7. Challenge: A rectangular garden measures 8 feet by 15 feet. What is the length of the diagonal path across the garden?
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