Quiz: Pythagorean Theorem

A rectangular parking lot has a length of 84 feet and a width of 56 feet. Which of the following could be used to find the diagonal distance across the parking lot?

Tags

CCSS.8.G.B.8

Find the missing side length of the right triangle below.

• 7 ft

• 5 ft

• 9 ft

• 12 ft

Tags

CCSS.8.G.B.7

Find the missing side length of the right triangle below.

• 13.4 in

• 8.2 in

• 12.6 in

• 9.7 in

Tags

CCSS.8.G.B.7

Which of the following shows the sides of a right triangle labeled correctly?

• (Triangle labeled a, b, c with c as hypotenuse)

• (Triangle labeled a, c, b with c as a leg)

• (Triangle labeled a, b, c with c not as hypotenuse)

• (Triangle labeled b, c, a with a as hypotenuse)

Jack has a 35-foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house?

• 28 feet

• 25 feet

• 30 feet

• 20 feet

Tags

CCSS.8.G.B.8

Find the value of x in the isosceles triangle.

Tags

CCSS.HSG.CO.C.9

In the figure below, the area of square 1 is 169 cm² and the perimeter of square 2 is 48 cm. What is the area of square 3?

• Area of square 3 is 25 cm²

• Area of square 3 is 64 cm²

• Area of square 3 is 36 cm²

• Area of square 3 is 81 cm²

Tags

CCSS.8.G.B.8

Clay went for a run to prepare for a long-distance race coming up. From his house, he ran 6 miles directly north and then 8 miles directly west. From there, he ran the diagonal distance back to his house. How many total miles did Clay run?

• 20 miles (6 + 8 + 10, where 10 is the diagonal)

• 14 miles (6 + 8)

• 24 miles (6 + 8 + 10, but double counted)

• 18 miles (6 + 8 + 4)

Tags

CCSS.8.G.B.8

About how many miles is the most direct route from Washington to Springfield?

• About 70.7 miles (the diagonal of a 50-mile square: 50√2 ≈ 70.7)

• About 50 miles

• About 100 miles

• About 35 miles

Tags

CCSS.8.G.B.8