Pythagorean Theorem and Its Converse

A 32-inch television measures 32 inches diagonally and has a width of 25 inches. A 26-inch television measures 26 inches diagonally and has a width of 18.8 inches. To the nearest inch, how much taller is the 32-inch television than the 26-inch television?

• 1 in

• 2 in

• 4 in

• 6 in

Which measures could be the side lengths of a right triangle?

• 7 cm, 21 cm, 25 cm

• 30 cm, 72 cm, 78 cm

• 3 cm, 5 cm, 9 cm

• 7 cm, 25 cm, 26 cm

• The ladder is 13.3 feet from the wall, which is safe.

• The ladder is 13.3 feet from the wall, which is not safe.

• The ladder is 31.2 feet from the wall, which is safe.

• The ladder is 31.2 feet from the wall, which is not safe.

What is the area, to the nearest square foot, of a square garden that measures 80 feet diagonally from corner to corner?

• 6 ft²

• 16 ft²

• 40 ft²

• 120 ft²

• Triangles 1 and 2

• Triangles 1 and 3

• Triangles 1 and 4

• Triangles 3 and 4

• 50

• 60

• 70

• 80

Which of the following statements is not a true statement?

• The legs of a triangle are the sides adjacent to the right angle.

• The hypotenuse is directly across from the right angle.

• The Pythagorean theorem can only be used with right triangles

• The hypotenuse is always the shortest side length.

• 
• 
• 
• 

• 943 ft

• 15.26 ft

• 5.83 ft

• 13.43 ft

• 7 ft

• 17 ft

• 23 ft

• 289 ft