Pythagorean Theorem Study Guide Review

1. Find x, the missing side length in the right triangle.

• 10.6

• 85

• 113

• 7225

Tags

CCSS.8.G.B.7

2. Find x, the missing side length in the right triangle.

• 32

• 40

• 42

• 50

Tags

CCSS.8.G.B.7

3. Find x, the missing side length in the right triangle.

• 10

• 16.1

• 19.7

• 22

Tags

CCSS.8.G.B.7

4. Find x, the missing side length in the right triangle.

• 9

• 16.7

• 22.8

• 31

Tags

CCSS.8.G.B.7

5. The legs of an isosceles right triangle both measure 10 inches. Find the length of the hypotenuse.

• 5 in³

• 10 in³

• 14.1 in³

• 20 in³

Tags

CCSS.8.G.B.7

6. The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side.

• 2 cm

• 4 cm

• 13.3 cm

• 31.2 cm

Tags

CCSS.8.G.B.8

7. Peter is trying to get his cat out of a tree in his backyard. The cat is 12 feet above the ground, and Peter has to put the base of his ladder 9 feet away from the tree because of mud. How long does the ladder need to be in order to reach the cat?

• 3.6 ft

• 7.9 ft

• 13 ft

• 15 ft

Tags

CCSS.8.G.B.8

8. The front view of a tent is shown below. If a zipper is going to be put in along the length of x, how long should the zipper be?

• 23.3 ft²

• 5.7 ft²

• 15 ft²

• 18.8 ft²

Tags

CCSS.HSG.CO.C.9

9. Kevin is creating a target for a game that will be played at the school’s carnival. In order to do this, Kevin needs to put red tape in the shape of an “x” as shown below. If the area of the square board is 25 square feet, how many feet of tape will he need?

• 5 ft

• 7.1 ft

• 10 ft

• 14.1 ft

Tags

CCSS.8.G.B.8

10. Gigi’s family left their house and drove 14 miles south to a gas station and then 48 miles east to a water park. How much shorter would their trip to the water park have been if they hadn’t stopped at the gas station and had driven along the diagonal path instead?

• 112 miles

• 12 miles

• 45.9 miles

• 50 miles

Tags

CCSS.8.G.B.8