Triangles and the Pythagorean Theorem

Set 1

Choose the best answer.

1. If the sides of a triangle measure 3, 4, and 5, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

2. If the sides of a triangle measure 12, 16, and 20, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

3. If the sides of a triangle measure 15, 17, and 22, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

4. If the sides of a triangle measure 6, 16, and 21, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

5. If the sides of a triangle measure 12, 12, and 15, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

6. If two sides of a triangle measure 4 and 14, and an angle measures 34°, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

7. If the sides of a triangle measure 4, 13, and 16, then the triangle is
acute.
right.
obtuse.
It cannot be determined.

Set 2

Choose the best answer.

8. Eva and Carr meet at a corner. Eva turns 90° left and walks 5 paces; Carr continues straight and walks 6 paces. If a line segment connected them, it would measure
√22 paces
√25 paces
√36 paces
√61 paces

9. The legs of a table measure 3 feet long and the top measures 4 feet long. If the legs are connected to the table at a right angle, then what is the distance between the bottom of each leg and the end of the tabletop?
5 feet
7 feet
14 feet
25 feet

10. Dorothy is standing directly 300 meters under a plane. She sees another plane flying straight behind the first. It is 500 meters away from her, and she has not moved. How far apart are the planes from each other?
40 meters
400 meters
4,000 meters
40,000 meters

11. Timmy arranges the walls of his shed on the ground. The base of the first side measures 10 feet. The base of the second side measures 15 feet. If the walls are at a right angle from each other, the measure from the end of one side to the end of the second side equals
35 feet
50 feet
√225 feet
√325 feet