Pythagorean Theorem

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

Hypotenuse

100

Use the Pythagorean theorem to find c. 

^{a = 3}

^{b = 4}

5

200

Use the Pythagorean theorem to find c.

a = 5

b= 12

13

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 14 and 48.

50

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 9

9 rt 2

500

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 5 rt 3

10

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 b=20 and c=29.

a = 21

500

Use the Pythagorean theorem to find the missing leg for the triangle with c = 20 and b = 10.

a = 10 rt 3

Mystery

100

Is a triangle with these sides a right triangle?
10, 24, 26

yes

200

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?

150 m 

300

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?

3sqrt15 ft

400

For the perimeter of the triangle ABC given that AC = 13, CD = 12, and BD = 16. 

54

500

A right triangle has legs of lengths 3x + 2 and 4x−1, and a hypotenuse of length 5x. Use the Pythagorean Theorem to find the value of x.

x = -5/4