Pythagorean Theorem with Radical Side Lengths

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

Solve for x. SIMPLIFY your radical answer completely.

• 4√2

• 2√4

• 2√2

• 16√2

Solve for x. SIMPLIFY your radical answer completely.

• 4√22

• 22√4

• 22√2

• 2√22

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 right triangle has legs of lengths 10 and 12. What is the length of the hypotenuse in simplest radical form?

A right triangle has legs of lengths 11 and 15. What is the length of the hypotenuse in simplest radical form?

A right triangle has legs of lengths 8 and 14. What is the length of the hypotenuse in simplest radical form?

A right triangle has legs of lengths 5 and 9. What is the length of the hypotenuse in simplest radical form?

A right triangle has legs of lengths 9 and 13. What is the length of the hypotenuse in simplest radical form?

A right triangle has legs of lengths 6 and 10. What is the length of the hypotenuse in simplest radical form?