Math

• math

Pythagorean Theorem

Welcome to 8th Grade Geometry

with

 Fabiola Ramos

Common Core Standards

CCSS.MATH.CONTENT.8.G.B.6

Explain a proof of the Pythagorean Theorem and its converse.

Pythagorean Theorem 

A theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

What is a hypotenuse?

What kind of triangles does the pythagorean theorem only apply to?

Vincent is building a slide for his kids. The ladder is 3 meters tall and the slide is 5 meters long. What is the distance between the ladder and the bottom of the slide?

A 17 meter pice of string is stretched from the top of a 15 meter flagpole to the ground. How far is the base of the flagpole from the end of the piece of string?

48​2​​+55​2​​=C​2​​

1. 73
2. 75
3. 5329
4. 90

14​2​​+48​2​​=C​2​​

1. 25
2. 50
3. 60
4. 40

12​2​​+y​2​​=13​2​​

1. 3
2. 8
3. 10
4. 5

C​2​​=5​2​​+7​2​​

1. 4.1983
2. 7
3. 8.6023
4. 10