Pythagorean Theorem Quiz

A 12-foot ladder is leaning against the side of a building.  The top of the ladder reaches   10 feet up the side of the building.  Approximately how far is the bottom of the ladder   from the base of the building?

• 2 ft
• 15.6 ft
• 6.6 ft
• 1.4 ft

• A) 810 ft
• B) 90 ft
• C) 180 ft
• D)127 ft

A flower garden is in the shape of a right triangle.  One leg of the triangle is 6 ft long and   the hypotenuse is 12 ft long.  What is the length of the other leg?

• A) 14.6 ft
• B) 10.4 ft
• C) 13 ft
• D) 12.8 ft

Tags

CCSS.8.G.B.7

Which of the following sets of numbers represents a Pythagorean Triple?

• A { 10, 5, 12}                    
•  B { 2, 4, 5} 
•  C {1, 2, 3 }
•   D {14, 48, 50 }

Which of the following sets of numbers does NOT represent a Pythagorean Triple?    

•  A  {34, 16, 30} 
• B  {10, 24, 26} 
• C  {19, 21, 23}   
• D  {5, 12, 13} 

A right triangle has legs of lengths 9 cm and 12 cm.  What is the length of the  hypotenuse?   

•  A  15 cm   
• B  22 cm   
• C  25 cm   
• D  14 cm

Tags

CCSS.8.G.B.7

A triangle has legs which measure 15 inches and 20 inches.  Find the length of the  hypotenuse.       

• A  28 inches 
• B  32 inches   
• C  13 inches   
• D  25 inches

A 20-ft-long wire is used to support a television antenna.  The wire is connected to the antenna 15 ft above the ground.  How far away from the base of the tower will the other  end of the wire be located?
   

• A  13.2 ft  
• B  25 ft  
• C  18 ft  
• D  16.5 ft

Gina is making a quilt in the shape of a right triangle.  The measurement of the diagonal of the quilt is 36 in. long.  The width of the quilt is 15 in. long.  What is the approximate   length?         

• A  27.3 in.   
• B  32.7 in.   
• C  19.6 in.
• D  29.9 in.  

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