Pythagorean Theorem Converse homework worksheet with problems on identifying right triangles and calculating areas and perimeters.

1. Yes
2. Yes
3. No
4. No
5. No
6. No
7. No, because the side lengths do not satisfy the Pythagorean theorem: 73² ≠ 55² + 4².
8. Yes, because 11² + 13² = 121 + 169 = 290, and 21² = 441, which are not equal. Wait, this is incorrect. Let's recalculate: 11² + 13² = 121 + 169 = 290, and 21² = 441. Since 290 ≠ 441, it is not a right triangle. But the problem asks if it is a right triangle, and the answer is no. However, the side lengths 11, 13, and 21 do not satisfy the Pythagorean theorem, so the triangle is not a right triangle.
9. D
10. C