Section 7.3: The Pythagorean Theorem — Practice Questions

1. 1. Do the side lengths 6, 8, and 10 form a right triangle?

   • A. Yes
   • B. No

2. 2. Do the side lengths 2, 3, and 5 form a right triangle?

   • A. Yes
   • B. No

3. 3. For a triangle with side lengths 8, 15, and 17, what is the value of the sum of the squares of the two shorter sides?

   • A. 289
   • B. 225
   • C. 64
   • D. 161

4. 4. Do the side lengths 4, 6, and 10 form a right triangle?

   • A. Yes
   • B. No

5. 5. For a right triangle with sides 3 cm, 4 cm, and 5 cm, what is the sum of the areas of the squares drawn on the two shorter sides, in cm$^2$? ___

6. 6. Do the side lengths 9, 16, and 25 form a right triangle?

   • A. Yes
   • B. No

7. 7. Do the side lengths 5, 12, and 13 form a right triangle?

   • A. Yes
   • B. No

8. 8. To verify that a triangle with sides 12, 16, and 20 is a right triangle using the Pythagorean theorem, we calculate the value of $12^2 + 16^2$. The result is ___.

9. 9. Do the side lengths 3, 4, and 5 form a right triangle?

   • A. Yes
   • B. No

10. 10. A right triangle has a hypotenuse of length $15$ and one leg of length $9$. What is the length of the other leg?

    • A. 12
    • B. 6
    • C. 17.5
    • D. 24