AKS 42/15 Applying Pythagorean Theorem

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

• 4.7 centimeters
• 9.4 centimeters
• 11 centimeters
• 15.6 centimeters

Tags

CCSS.8.G.B.7

What is the length of the unknown leg to at the nearest tenth?

• 2.4
• 5.1
• 12.5
• 18.9

Tags

CCSS.8.G.B.7

Determine the unknown side for the triangle shown.  Round to the nearest tenth if needed.

• 23.4
• 34
• 1156
• 23.3

The side lengths of a right triangle are 24, 45 and 51.  Which side is the hypotenuse?

• 51
• 24
• 45
• Can't determine

Gary 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?  Round your answer to the nearest tenth of an inch.

• 6.7 inches
• 13.4 inches
• 20.1 inches
• 67.5 inches

Jorge is setting up his tent.  He is using two nylon ropes to pull the tent taut and stabilize it at each end.  If the tent is 5 feet tall, and Jorge stakes the ropes into the ground 3 feet from the tent, what is the total length of nylon rope he will use, to the nearest tenth of a foot?

• -4 feet
• 4 feet
• 5.8 feet
• 6

What is the length of the diagonal of the rectangular solid shown?

• 5 cm
• 13 cm
• 6cm
• 12.3

Tags

CCSS.8.G.B.7

The diagram shows a ramp and some of its dimensions. What is the height,  $h$ , of the ramp?

• 1 ft.

• 5 ft.

• 8 ft.

• 25 ft.

Tags

CCSS.8.G.B.7

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.8.G.B.8