1. A right triangle has legs of 6 and 8. What is the length of the hypotenuse?

  2. A right triangle has a hypotenuse of 13 and one leg of 5. What is the length of the other leg?


  3. A triangle has sides of 7, 24, and 25. Is it a right triangle?



  4. A ladder leans against a wall. The base is 9 feet from the wall and the ladder is 15 feet long. How high up the wall does it reach?


  5. A 45-45-90 triangle has legs of length 6. What is the length of the hypotenuse?


  6. The legs of an isosceles right triangle are both 5. What is the area of the triangle?


  7. A triangle has a right angle, a side of 6, and a side with an unknown value greater than 6. The triangle is isosceles. What is its area?

  8. In a 30-60-90 triangle, the hypotenuse is 12. What is the short leg?


  9. A triangle has angles of 30°, 60°, and 90° with a hypotenuse of 20. What is the area?


  10. A square garden has a side length of 8. What is the length of the diagonal path across it?