The Pythagorean Theorem and Real Numbers Review

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Find the direct distance between the court house and the town hall.

• 26

• 6.8

• 10

• 7.2 km

Level 3: Estimate the square root.

• Between 7 and 8 and closer to 8

• Between 8 and 9 and closer to 9

• Between 9 and 10 and closer to 9

• Between 9 and 19 and closer to 10

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

A ladder is leaning against a wall, reaching a height of 15 feet. If the base of the ladder is 9 feet away from the wall, how long is the ladder?

• 17 feet

• 18 feet

• 24 feet

• 12 feet

A right triangle has a leg of 8 units and a hypotenuse of 17 units. What is the length of the other leg?

• 15 units

• 9 units

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet from the wall, what is the length of the ladder?

• 13 feet

• 17 feet

• 12 feet

• 15 feet

If a right triangle has a hypotenuse of 10 inches and one leg that measures 6 inches, what is the length of the other leg?

• 8 inches

• 4 inches

If the hypotenuse of a right triangle is 13 cm and one leg is 5 cm, what is the length of the other leg?

• 12 cm

• 10 cm

• 8 cm

• 14 cm

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

• 10 cm

• 12 cm

• 14 cm

• 16 cm