A rancher has a circular pasture with a radius of 150 yards. An oil pipeline crosses the pasture as shown in the figure.

What is the length of the pipeline that crosses the pasture?

A. 60 yards
Incorrect. Before you can subtract the side lengths of a right triangle, you must first square them.

B. 90 yards
Incorrect. This number is the length of one leg of one right triangle, but the pipeline follows the lengths of the legs of two right triangles.

C. 180 yards
Correct!

D. 300 yards
Incorrect. Use the Pythagorean Theorem to find the missing side lengths.

The state flag of Florida is shown below.

If the actual flag is 48 inches wide and 36 inches tall, what is the length of each of the red stripes that follow the diagonal of the flag?

A. √1008 inches
Incorrect. The diagonal of the flag is the hypotenuse of a right triangle created by the length and width of the flag.

B. 60 inches
Correct!

C. 42 inches
Incorrect. Before you can add the side lengths of a right triangle, you must first square them.

D. 12 inches
Incorrect. Use the Pythagorean Theorem to find the missing side lengths.

Takana rowed 250 meters west, then turned and rowed 75 meters south.

Because of an approaching storm, Takana turned and rowed directly back to her starting point. How far did Takana row to get back to her starting point?

A. √56,875 meters
Incorrect. Takana rowed along the hypotenuse of a right triangle.

B. √68,125 meters
Correct!

C. 175 meters
Incorrect. Use the Pythagorean Theorem to find the distance Takana rowed.

D. 162.5 meters
Incorrect. The distances that Takana rowed should be squared, and then added together.

The rectangular football field at Madison Middle School is 120 yards long and 50 yards wide. James ran down the length of the field, up the width of the field, then back along the diagonal of the field to his starting point, tracing out the path of a right triangle. How long did James run?

A. 300 yards
Correct!

B. 170 yards
Incorrect. This number is the sum of the length and width of the field, but James also ran along the length of the diagonal.

C. 130 yards
Incorrect. This number is the length of the diagonal, which should be added to the lengths of the remaining segments along which James ran.

D. 340 yards
Incorrect. This number is the perimeter of the football field, but James ran along the diagonal instead of all four sides.

A 16-meter ladder is resting against a building so that the base of the ladder is 4 meters from the bottom of the building. How far up the side of the building from the ground does the ladder touch the building?

A. 10 meters
Incorrect. The Pythagorean Theorem requires you to work with the squares of the side lengths of a right triangle.

B. 12 meters
Incorrect. The Pythagorean Theorem requires you to square both numbers before you can subtract them.

C. √240 meters
Correct!

D. √272 meters
Incorrect. The length of the ladder is the hypotenuse of the right triangle, so you need to subtract the square of the distance between the base of the ladder and the bottom of the building.