Pyth's Theorem Check

What is the relationship between the sides in the Pythagorean Theorem shown?

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

What is the length of the missing side?

• x = 4

• x = 8

• x = 10

• x = 16

What is the value of x?

• 14.7

• 15

• cannot be determined

The legs of a right triangle have lengths 10 and 24. What is the length of the hypotenuse?

• 13

• 14

• 26

• 34

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft
• 11ft
• 6ft
• 14ft

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

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

Is a triangle with side lengths 90, 111, and 56 a right triangle?

• Yes

• No

Is a triangle with side lengths 106, 56, and 90 a right triangle?

• yes

• no