Pythagorean Theorem

Vocabulary

100

What is the formula for Pythagorean Theorem?

What is a^2+b^2 = c^2

200

What is the name of the longest side of a right triangle and what variable do we use for it?

Hypotenuse c

300

What are the 2 short sides of a right triangle called, and what variables do we use for them?

legs a and b

400

Who came up with the Pythagorean theorem

Pythagoras, a greek mathematician

500

Describe the Distributive Property (think of our art project we did near the end of last semester).

Answers may vary.

Square Roots

100

What is the square root of 49?

7

200

What is the square root of 63 to the nearest tenth place

7.9

300

What is the square root of 119 he nearest tenth?

10.9

400

What is the square root of 405 to the nearest tenth

20.1

500

What is the square root of 20 to the nearest tenth?

4.5

Is it a Right Triangle

100

Does a triangle with sides 6, 8, and 10 make a right triangle?

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

YES

200

Does a triangle with sides 7, 9, 11 make a right triangle?

7^2 + 9^2 = 11^2

49 + 81 = 121

140 = 121

NO

300

Does a triangle with sides 5, 12, and 13 make a right triangle?

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

YES

400

Does a triangle with sides 15, 36, and 39 make a right triangle?

15^2 + 36^2 = 39^2

YES

500

Does a triangle with sides 1.5, 2.5, and 4.0 make a right triangle?

NO

Solve for the missing leg/hyp.

100

Find the hypotenuse, c, when a = 3 and b = 4

c = 5

200

Find a if b = 5 and c = 10?

a = 8.6 or 8.7

300

Find the hypotenuse, c, when a = 8 and b = 15

c = 17

400

Find the hypotenuse, c, when a = 15 and b = 20

c = 25

500

What is b if a = 10 and c = 11

b = 4.5 or 4.6

Word Problems

100

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

10 blocks away

200

Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree.

8.7 feet

300

Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen.

26 inches

400

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

5 meters

500

Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug.

14.2 feet