Pythagorean Applications

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

Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?

• 30 feet
• 50 feet
• 40 feet
• 20 feet

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?

• 30²  + 40² = c²
• a²  + 40² = 30²
• 30²  + b² = 40²
• 40²  + 30² = c²

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

A 12 foot ladder leans against the side of a house.  The bottom of the latter is 8ft from the side of the house.  How high is the top if the ladder from the ground. 

• 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

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 

• 5
• 7
• 10
• 12

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