Understand and Apply the Pythagorean Theorem

Choose Yes or No to tell whether the following set of side lengths will make a shelf that fits in a 90° corner of a room.

6 cm, 8 cm, 10 cm

• Yes

• No

• Both Yes and No

• I don't have a clue

Choose Yes or No to tell whether the following set of side lengths will make a shelf that fits in a 90° corner of a room.

2 cm, 3 cm, 4 cm

• Yes

• No

• Both Yes and No

• I don't have a clue

Choose Yes or No to tell whether the following set of side lengths will make a shelf that fits in a 90° corner of a room.

5 cm, 6 cm, 9 cm

• Yes

• No

• Both Yes and No

• I don't have a clue

Choose Yes or No to tell whether the following set of side lengths will make a shelf that fits in a 90° corner of a room.

3 cm, 4 cm, 5 cm

• Yes

• No

• Both Yes and No

• I don't have a clue

The diagonal of any rectangular prism always longer than any one side because the diagonal is the hypotenuse of a right triangle, which is always longer than the longest side of the prism.

• True

• False

• Both true and false

• I don't have a clue

Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite?

• 4 inches

• √32 inches

• 8 inches

• 16 inches

Julian forgot his bat when he left for baseball camp. His mother finds a box to ship it to him with the dimensions shown. If the bat measures 34 inches long, will the bat fit inside the box?

• Yes.

• No

• I don't have a clue

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth.

• 100 cm

• 141.42 cm

• 128.06 cm

• 116.62 cm

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards
• 115 yards
• 127.3 yards
• 119 yards