Pythagorean Theorem and Converse to Pythagorean Theorem

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

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle

Given these side lengths, classify the triangle.

• Acute

• Obtuse

• Right

• Not a triangle

Name the longest side of a right triangle.

• leg a

• leg b

• leg 

• hypotenuse

Find the missing side

• 11

• 61

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

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