Understand and Apply the Pythagorean Theorem

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

What is the distance between points (2 , 3) and (5 , 7) ?

• 3
• 3.5
• 4
• 5

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 triangle has the following side lengths: 
AB = 12 units
BC = 10 units
AC = 16 units 
What type of triangle does this make?

• Acute
• Obtuse
• Right
• Equilateral 

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

• 10
• 25
• 175
• 625

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

• 5
• 7
• 10
• 12

What is the area of a triangle that has a hypotenuse that is 13 cm and a base that is 5 cm?

• 30
• 45
• 60
• 12

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

5x² - 4 = 76

• 16
• 8
• 4
• 2