Pythagorean Theorem

Find The Leg

100

Use  b = √c² - a²  to find the missing LEG for the triangle with a=6 and c=10.

b = 8

200

Use  b = √c² - a²  to find the missing LEG for the triangle with a=9 and c=20.

b = 17.9

300

Use  b = √c² - a²  to find the missing LEG for the triangle with a=10 and c=15.

b = 11.2

400

Use  b = √c² - a²  to find the missing LEG for the triangle with b=1 and c=4.

a = 3.9

500

Use  b = √c² - a²  to find the missing LEG for the triangle with b=6 and c=9.

a = 6.7

PythagoreanTheorem

100

In terms of a, b, and c, what is the Pythagorean Theorem?

a² + b² = c²

200

In terms of legs and hypotenuse, what is the Pythagorean Theorem?

leg² + leg² = hypotenuse²

300

When using the Pythagorean Theorem, which side does c always have to be?

The hypotenuse and the longest side

The side directly opposite of the right angle 

400

What must be true about your triangle in order to use the Pythagorean Theorem?

It must be a right triangle.

500

True or False

The Pythagorean Theorem works on ALL triangles

False, it only works on right triangles

Find The Hypotenuse

100

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with legs 3 and 4 inches long

5 inches

200

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 6 and 8.

10

300

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

500

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

Vocab

100

In the Pythagorean theorem  a² + b² = c², what are a and b called?

Legs

200

In the Pythagorean theorem a² + b² = c², what is "c" called?

Hypotenuse

300

What is a factor of a number that, when multiplied by itself, gives the original number?

Square Root

400

What do we call a 90 degree angle?

A Right Angle

500

Wha do we call the sign used to find a square root?

Radical sign

Distance and converse

100

Find the distance between the 2 points. Round to the nearest tenths place

(1,2), (7,6)

7.2

200

find the distance

(4,-5),(-1,7)

What is  13

300

find the distance, Round to the nearest tenths place

(2,4), (7,2)

5.4

400

Am I a right triangle

14, 19, 23

no

500

Am I a right triangle (prove it)

1.4, 4.8, 5

yes