M4T2 Pythagorean Theorem

A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.

• 13.4 feet

• 14.6 feet

• 16.5 feet

• 18.0 feet

Rectangle ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.

• 10 meters

• 10.2 meters

• 15 meters

• 15.3 meters

What is the length of the unknown side?

• 14 units

• 20 units

• 28 units

• 10.6 units

What is the distance between (5, 7) and (-2, -2)? Round to the nearest tenth, if necessary.

• 5.7 units

• 5.8 units

• 8.6 units

• 11.4 units

Gray is building braces for a shelf. He will attach each brace to the front edge of the 6-inch shelf and 3 inches down the wall. If he uses 3 braces for the shelf, how much bracing, in inches will he need?

• 6.7 inches

• 13.4 inches

• 20.1 inches

• 67.5 inches

Albus has an appointment with a client. He drives 54 miles due west from his office. Then, he turns northeast and drive 90 miles. His final destination is directly north of his office. Which client did Albus meet?

• AdLine Inc.

• Creative Potential

• Gearing Studio

• WillCom

Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Which equation can be used to find the width of the garden? How wide is the garden?

Select all that apply. (Hint: there is more than one answer.)

• 11² + w² = 19²

• 19 - 11 = w

• width = 8 feet

• width = 15.5 feet

Trapezoid ABCD is shown. What is the length of diagonal AC?

• 5 units

• 7.6 units

• 8.5 units

• 10 units

The Pythagorean Theorem is
c² = a² - b²  

• false
• true

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• left

• isosceles

• right