Applying the Pythagorean Theorem

Layne rode his bike from Point A to B by using Cherry Street.

How much further would his trip have been if he took Orange Drive and Peach Avenue instead?

• 25 yards

• 26 yards

• 27 yards

• 28 yards

Ashton left his house and ran 4 miles east

and then 3 miles north. He then took the

diagonal path back home. If he burned 105

calories every mile that he ran, how many total

calories did he burn on his run?

• 12 calories

• 240 calories

• 1,260 calories

• 5,000 calories

The Blackburn family has a square field

where they keep their cattle. The area of the

field is 40,000 ft2, and Mr. Blackburn wants to

put a fence diagonally through the field. What

should the length of the fence be?

• Approximately 282.8 feet

• Approximately 425.7 feet

• Approximately 2,892.9 feet

• Approximately 14,142.1 feet

Martin needs to place caution tape across both diagonals of a broken rectangular door in his store.

If the dimensions of the door are 3 feet by 7 feet, how many feet of caution tape will he need?

• Approximately 10.4 feet

• Approximately 15.2 feet

• Approximately 18.8 feet

• Approximately 21.3 feet

Tony is building a doghouse, and the front view of the roof is an isosceles triangle as shown in picture.

What is the height of the roof?

• 20 inches

• 21 inches

• 22 inches

• 23 inches

If the area of square 2 is 225 square units, and the

perimeter of square 1 is 100 units, what is the

area of square 3?

• 100 square unites

• 200 square units

• 300 square units

• 400 square unites

Joel wants to fence off a triangular portion of his yard for his chickens.

The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long.

Will Joel be able to make a right triangle with the current lengths of fencing? Why or why not?

• Yes, Joel can make a right triangle with these lengths.
• No, Joel cannot make a right triangle with these lengths.

Joel wants to fence off a triangular portion of his yard for his chickens.

The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long.

Joel cut the longest piece of fencing in order to make a right triangle.

Find the perimeter of Joel’s fence.

• 17 feet

• 37 feet

• 40 feet

• 43 feet

Joel wants to fence off a triangular portion of his yard for his chickens.

The three pieces of fencing he has measure 8 feet, 15 feet, and 20 feet long. He cuts the longest piece to 17 feet to make it a right triangle.

If it takes Joel 30 seconds to install each foot of fencing, how many total minutes will it

take him to install the fence?

• 5 minutes

• 10 minutes

• 20 minutes

• 25 minutes