Apply the Pythagorean Theorem

Which are the dimensions of a right triangle?

• 4cm, 7cm, 10cm
• 6cm, 8cm, 9cm
• 8cm, 15cm, 40cm
• 9cm, 40cm, 41cm

Which are NOT dimensions of a right triangle?

• 3in, 4in, 5in
• 7in, 10in, 16in
• 11in, 60in, 61in
• 12in, 35in, 37in

A fire truck is parked so the base of its ladder is 15 feet from the building and 10 feet above the ground. The ladder extends to a length of 20 feet. Approximately how high up the building does the ladder reach? 

• 13.2 feet
• 23.2 feet
• 25 feet
• 35 feet

A segment is drawn from point A (-1, -6) to point B (4, 6). Determine the length of the segment. Round to the nearest tenth, if necessary. You may use graph paper, if needed.

• 12 units
• 12.5 units
• 13 units
• 13.5 units

A right triangle has legs measuring 15 meters and 20 meters. What is the length of the hypotenuse?

• 25 meters
• 17 meters
• 13 meters
• 35 meters

A right triangle has a leg measuring 24 units and a hypotenuse measuring 25 units. What is the length of the other leg?

• 7 units
• 9 units
• 35 units
• 49 units

A guy wire is attached to the top of 24-foot power pole. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the length of the wire itself?

• 14 feet
• 22 feet
• 26 feet
• 34 feet

What is the approximate length of the hypotenuse of the right triangle? (Hint: Figure the length of the legs of the big triangle by constructing smaller triangles and applying the Pythagorean Theorem.)

• Approximately 10.2
• Approximately 5.5
• Approximately 5.5
• Approximately 2.4

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

What is the length of line segment AD?

• 3
• 4
• 5
• 6