Square Roots
Cube roots
Pythagorean Theorem
Application
Pythagorean Theorem
Pythagorus
100

Square root of 36

6

100

Cube root of 27

3

100

What kind of triangles does the Pythagorean Theorem work for?

Right

100

If you live 5 miles directly north of me and another friend lives 5 miles directly east of me, how many miles would it take you to run directly to the friends house? (to the nearest tenth)

7.1 miles

100

What is the name of what Pythagoras came up with?

Pythagorean Theorem

200

Square root of 225

15

200

Cube root of 125

5

200

If the legs of a right triangle are 3 and 4, how long is the longest side?

5

200

You made a triangular garden with side lengths of 40 feet, 60 ft and 72 ft.  Did you make a right triangle garden?

no

200

Was Pythagoras born in AD or BC?

BC

300

What is the square root of 77 rounded to the nearest tenth? 

8.8

300

Cube root of 64,000

40

300

What is the name of the longest side of a right triangle?

hypotenuse

300

If a 25 foot ladder is placed 7 feet from the bottom of a house, how high up the house does the ladder reach?

24 feet

300

Pythagoras came up with what formula?

a+ b2 = c2

400

What is the square root of 275 rounded to the nearest hundreth?

16.58

400

Side length of a cube with a volume of 343 ft3

7

400

How long is the hypotenuse of a right triangle that has legs that are 5 cm and 12 cm?

13 cm

400

The diagonal of a TV is 36 inches. The height of the tv is 17.6 inches, how wide is it? (nearest tenth)

31.3 in

400

What Pythagoras Chinese, Italian, or Greek?


Greek

500

If a square has an area of 900 square feet, what is the length of the sides?   


Bonus [+200 points] What is the perimeter of the square?

30 ft.    



120 ft

500

Side length of a cube with volume of 15,625 in3.


Bonus [+200 points] - What is the area of the base?

25 in.   


625in2

500

If the hypotenuse is 20 feet long and one leg is 12 feet, how long is the other leg?

16 feet

500

If you have streets that come together to make a triangle that have lengths of 80 m, 170 m and 150 m, do the streets form a right triangle?

Yes

500

Pythagoras was born on the island of .....

Samos (Greece)

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