Pythagorean Theorem and Area

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

If a boat sailed six miles north and eight miles east, how far away is it from its original location?  (find d)

• 100 miles

• 14 miles

• 10 miles

• 2 miles

• The top of the ladder is 8.9 ft from the ground
• The top of the ladder is 9.2 ft from the ground
• The top of the ladder is 16.5 ft from the ground
• The top o the ladder is 14.4 ft from the ground

What is the formula used for the Pythagorean Theorem?

• a + b = c

• a² + b² = c²

• a₂ + b₂ = c₂

• a x b = c

If a triangle has sides that measure 3 cm, 4 cm and 5 cm - is it a RIGHT triangle?

• Yes, right triangle

• No, not a right triangle

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

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in 

• 14.3 in

Larry attached a string from the top of the flagpole to the ground.  The flagpole is 26 feet high and the string is 18 feet away from the flagpole.  How long is the string? 

• 352 feet 

• 31.6 feet 

• 44 feet 

• 6.6 feet 

Johnathan is painting the side of his home. He has a 25 foot ladder and leans the ladder against his house. The base of the ladder is five feet from the side of the house. How far up the house will the ladder reach?

• 24.5 ft

• 25.5 ft

• 26.5 ft

• 23.5 ft

• 7 ft
• 5 ft
• 3 ft
• 2 ft