Pythagorean Theorem practice

Solving for the hypotenuse: Find the length of the hypotenuse in a right-angled triangle with legs of length 3 and 4.

• 2

• 5

• 10

• 7

Solving for the hypotenuse: A ladder is leaning against a wall. If the ladder is 10 feet long and the base of the ladder is 6 feet away from the wall, what is the height at which the ladder reaches the wall?

• 8

• 12

• 4

• 5

Solving for a leg: In a right-angled triangle, if the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

• 5

• 4

• 8

• 12

Solving for a leg: A right-angled triangle has a hypotenuse of 13 and one leg of 5. What is the length of the other leg?

• 10

• 7

• 15

• 12

Identifying the hypotenuse: In a right-angled triangle with legs of length 7 and 24, which side is the hypotenuse?

• Side with length 14

• Side with length 7

• Side with length 10

• Side with length 24

Identifying the hypotenuse: A right-angled triangle has sides of length 9, 12, and 15. Which side is the hypotenuse?

• 9

• 18

• 15

• 12

Applying the Pythagorean theorem: Determine if the given set of numbers can form a right-angled triangle: 5, 12, 13

• Not sure

• Yes

• Maybe

• No

Applying the Pythagorean theorem: Determine if the given set of numbers can form a right-angled triangle: 8, 15, 17

• Maybe

• No

• Not sure

• Yes

Using the Pythagorean theorem in real-life problems: A football field is a rectangle with dimensions 100 yards by 50 yards. What is the length of the diagonal from one corner of the field to the opposite corner?

• 125 yards

• 110 yards

• 90 yards

• 75 yards

Using the Pythagorean theorem in real-life problems: A flagpole is 20 feet tall. If the base of the flagpole is 15 feet away from a building, how far up the building does the shadow of the flagpole reach?

• The shadow of the flagpole reaches 12 feet up the building.

• The shadow of the flagpole reaches 18 feet up the building.

• The shadow of the flagpole reaches 25 feet up the building.

• The shadow of the flagpole reaches 8 feet up the building.