Introduction to Pythagorean Theorem and Modeling

Unit 16EP Review for Quiz: Pythagorean Theorem

By KAZU HOSHINO

Review/HW for Quiz on Wednesday, May 25th

Overview

This review includes videos and practice problems. Use a calculator and complete your work in a separate location (ex. paper, whiteboard, Notability, etc.)

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Due Date: Wednesday, May 25th​

Some text here about the topic of discussion

Multiple Select

Which of the following are rational numbers? Choose ALL that apply.

• $$\sqrt[]{81}$$  

• $$\pi$$  

• 3.14

• $$0.66666...$$  

Multiple Select

Which of the following are rational numbers? Choose ALL that apply.

• $$\sqrt[]{8}$$  

• $$\sqrt[]{2}$$  

• -16.45

• $$\frac{4}{9}$$   

Multiple Select

Which of the following are rational numbers? Choose ALL that apply.

•   $$\sqrt[]{200}$$  

•   $$\sqrt[]{121}$$  

• -12.121212...

• $$-1.25^2$$    

Multiple Choice

$$-\ \sqrt[]{225}$$  

• -25

• -15

• 15

• Not a real number

Multiple Choice

$$\sqrt[]{-225}$$  

• -25

• -15

• 15

• Not a real number

Multiple Choice

$$\sqrt[]{-169}$$  

• -25

• -15

• 15

• Not a real number

Fill in the Blank

$$-\ \sqrt[]{\frac{81}{100}}$$  

Fill in the Blank

$$\sqrt[]{\frac{196}{400}}$$  

Fill in the Blank

$$\sqrt[]{0.25}$$   

Fill in the Blank

$$-\ \sqrt[]{1.69}$$   

Multiple Choice

The side lengths of a triangle are 15, 20, 25. Is it a right triangle?

• Yes

• No

Multiple Choice

The side lengths of a triangle are 8, 15, 17. Is it a right triangle?

• Yes

• No

Multiple Choice

The side lengths of a triangle are 6, 12, 13. Is it a right triangle?

• Yes

• No

Fill in the Blank

Determine the vertical height of the bowl of this glass cup. Round to the nearest tenth.

Fill in the Blank

To get from point A to point B you must avoid walking through the pond. To avoid the pond, you must walk 34 meters south and 41 meters east. How many meters would be saved if it were possible to walk through the pond? Round to the nearest meter.

Fill in the Blank

A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase in feet. Round to the nearest tenth of a foot.

Fill in the Blank

In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest tenth of an inch?

Fill in the Blank

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Fill in the Blank

Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

Multiple Choice

The sides of the table are 36" and 18". If the diagonal of the table measures 43", is the table square? A table which is "square" has right angles at the corners.

• yes

• no

Fill in the Blank

A rescue boat leaves Dock A and travels 18 miles due north to haul in a sailing vessel stranded in the middle of a lake. After attaching a cable, the rescue boat hauls the sailing vessel 80 miles due west to Dock B. If the boat travels back to Dock A at a speed of 32 miles per hour, how long would it take for the boat to reach Dock A? Round your answer to the nearest tenth of an hour.

Fill in the Blank

Let A be the area of a triangle with sides of length 25, 25, and 30. Let B be the area of a triangle with sides of length 25, 25, and 40. Find the ratio comparing the area of triangle A to the area of triangle B.

Fill in the Blank

Brianna walks around a triangular park, daily.  The longest side of the park measures 75 yards and the shortest side measures 45 yards.  If she walks 3 full laps around the park, how far does she walk in one day?

Fill in the Blank

A square has an area of 484 sq cm. Determine the length of the diagonal of this square. Round to the nearest hundredths.

Fill in the Blank

Determine the perimeter of this isosceles triangle. Round to the nearest tenth of a unit.

Fill in the Blank

Determine the distance between the points located at (-1, 4) and (3, -3). Round to the nearest hundredth of a unit.

Fill in the Blank

The vertices of a triangle are located at (-4, 4), (4, -4) and (2,6). Determine the perimeter of this triangle to the nearest tenth

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