Grade 8 Mathematics | Independent Practice
1. Legs: 3 and 4
c = _______
2. Legs: 5 and 12
c = _______
3. Legs: 8 and 15
c = _______
4. Legs: 9 and 40
c = _______
5. One leg: 6, Hypotenuse: 10
Missing leg = _______
6. One leg: 9, Hypotenuse: 15
Missing leg = _______
7. One leg: 7, Hypotenuse: 25
Missing leg = _______
8. One leg: 20, Hypotenuse: 29
Missing leg = _______
9. Point A (1, 1) and Point B (4, 5)
Horizontal distance: _______ Vertical distance: _______
Distance = _______
10. Point A (2, 3) and Point B (10, 9)
Horizontal distance: _______ Vertical distance: _______
Distance = _______
11. Point A (-2, 1) and Point B (1, 5)
Horizontal distance: _______ Vertical distance: _______
Distance = _______
12. A rectangular TV screen measures 32 inches wide and 24 inches tall. What is the length of the diagonal?
Diagonal = _______ inches
13. A ladder is placed 5 feet from the base of a wall. The ladder reaches 12 feet up the wall. How long is the ladder?
Ladder length = _______ feet
14. A baseball diamond is a square with sides of 90 feet. What is the distance from home plate to second base (the diagonal)?
Distance = _______ feet (round to nearest tenth)
15. A ship sails 8 miles east and then 15 miles north. How far is the ship from its starting point?
Distance = _______ miles
16. A rectangular box has dimensions 3 inches x 4 inches x 12 inches. What is the length of the space diagonal (the longest diagonal inside the box)?
Hint: First find the diagonal of the base (3-4-?), then use that diagonal and the height (12) to find the space diagonal.
Space diagonal = _______ inches
17. Is a triangle with sides 7, 11, and 13 a right triangle? Use the Pythagorean Theorem to check.
Answer: _______ (Yes/No) Explain: _________________________________