Square Roots
Pythagorean Theorem
Application
Pythagorean Theorem
Detective Pythagorean
Prime factorization and prime factor statement
100

Square root of 36

6

100

What kind of triangles does the Pythagoren Theorem work for?

Right

100

If Alice live 5 miles directly north of me and Jacob lives 5 miles directly east of me, how many miles would it take Alice to run directly to the Jacob's house?

7.1 miles

100

solve for x when 

the side lengths are x, 4, 5

100

36

2x2x3x3=36

200

Square roots of 225

15

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

solve for x when 

the side lengths are the square root of 56, 5, and x

9

200

81

3x3x3x3=81

300

Square root of 77 is between which 2 whole numbers? 

8 and 9

300

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

hypotenuse

300

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

24 metres

300

solve for x when 

the side lengths are x, 10, 14

square root of 96 or 9.8

300

169

13x13=169

400

square root of 300 is between which 2 whole numbers?

17 and 18

400

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

13cm

400

The diagonal of a tv is 36 inches. The height of the tv is 17.6 inches, how long is it?

31.3 in

400

solve for x when 

the side lengths are x, 4, square root of 65

9

400

is 56 a perfect square? show work

2x2x2x7=56

can't split into 2 groups

500

If a square has an area of 900 ft squared, what is the length of the sides?   Bonus 200, what is the perimeter of the square?

30 ft.    120 ft

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, 170m and 150m, do the streets form a right triangle?

yes

500

solve for x when 

the side lengths are 19, 21, x

square root of 802 or 23.3

500

324

2x2x3x3x3x3=324

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