Real Numbers and the Pythagorean Theorem

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 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

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14
• 10
• 5.3
• 2

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

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards

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

In the drawing, the dashed line segment represents the distance across a pond. What is the actual distance, in yards, across the pond?    
Scale:  1 in = 2 yards

• 100 in
• 20 yds
• 10 yds
• 200 yds

Leland swam from the dock east 26 meters.  He turned and swam another 10 meters, as shown in the diagram.  What is the value of x, the distance Leland swam to return to the dock?

• 36 m
• 24 m
• 4 m
• 16 m

What is the formula for finding the hypotenuse?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

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