Pythagorean Theorem Test Review

What is the length of the hypotenuse in the triangle shown?

• 3

• 4

• 5

• 8

• The diagonal is 26 ft

• The diagonal is 31 ft

• The diagonal is 21.8 ft

• The diagonal is 20.9 ft

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

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?

Which equation could be used to solve the problem?

• $25^2+10^2=c^2$

• $25^2+b^2=10^2$
  

• $a^2+10^2=25^2$
  

• $10^2+b^2=25^2$
  

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

• 75 cm²
• 105 cm²
• 135 cm²
• 30 cm²

Which equation reflects the right triangle shown?

• x² + 14² = 20²

• 14² + 20² = x²

• 14² – 20² = x²

• x² – 14² = 20²

Which equation can NOT be used to find the length of the missing side?

• 12² + 13² = x²

• x² + 12² = 13²

• 13² – 12² = x²

• 13² – x² = 12²

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Find h

• 35.60
• 35.00
• 35.71
• 61.03

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes

• No