Pythagorean Theorem

Basics

100

12² + 3³

171

200

solve for x 

72 = 2x²

x = +6 and -6

300

sqrt(841) + 4²

45

400

Solve for x 

      4x³ = 864

6

500

sqrt(1764) - 10²

-60

Hypotenuse

100

Use the Pythagorean theorem to find c. 

^{a = 7}

^{b = 9}

11.4

200

Use the Pythagorean theorem to find c.

a = 13

b= 17

21.4

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5.2 and 12.4.

13.4

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 18 and 24.

30

500

One Army base is 108 miles north and the other base is 45 east of Long Branch. How far apart are the two bases?

117 miles

Legs

100

Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.

a = 3

200

Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.

b = 15

300

Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.

b = 24

400

Use the Pythagorean theorem to find the missing leg for the triangle with c=29 and b=20.

a = 21

500

You lean a 37 foot slide up against a wall. The base of the slide is 12 feet from the wall. How tall is the wall?

35 feet

Vocab.

100

What is the name of the formula a²+b²=c²

Pythagorean Theorem

200

What type of triangles is Pythagorean Theorem used for?

Right Triangles

300

In the Pythagorean theorem, what are "a" and "b" called? 

Legs

400

In the Pythagorean theorem, what is "c" called?

Hypotenuse

500

We know three numbers represent a right triangle by using the ______ of Pythagorean Theorem.

Converse