The Pythagorean Theorem and Square Root Practice Test

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

• 9 feet

• 19.2 feet

• 81 feet

• 369 feet

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

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles
• 89 miles
• 45.4 miles
• We don't have enough information.

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Find the value of x.

• 7
• 8
• 9
• 10

solve for c

• 7
• 9
• 4
• 13

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

If a 25-foot ladder leans against a building and the foot of the ladder is 7 feet from the base of the building, how far up the building does the ladder reach?

• 576 ft

• 24 ft

• 4.2 ft

• 18 ft

The picture below shows a ramp that Mike is building. How long does the board need to be to cover the ramp?

• 8.5

• 17

• 13

• 10.9

What is the length of x?

• 5
• 7
• 8
• 25