1. Secondary Math 2 8.5 – Pythagorean Theorem
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8.5 – Pythagorean Theorem

2. Warm - UP Identify the altitude Identify the base
Find the area of the triangle

3. 8.1 Questions

5. Quiz 14, 15
When you are finished, turn your quiz upside down, we will pass them forward when everyone is done.

6. What you will learn
I will be able to correctly solve problems using the Pythagorean Theorem.

7. Pythagoras 570 -495 BC Pythagorean Theorem
“There is geometry in the humming of the strings, there is music in the spacing of the spheres.”
Every number had its own character and meaning
Pythagorean Theorem
The square of the hypotenuse of a right triangle is equal to the sum of the squares of its legs.

8. The “WHY” of the Pythagorean Theorem
On your graph paper, draw a right triangle
(make yours different from your neighbors)
Draw a square off of each side of the triangle
Count the number of squares from each leg’s square
Count the number of squares from the hypothenuse. What do you notice?

9. Solve for x

10. Solve for x x

11. Remember Radicals?
8 = 4 2 = 4 ∗ 4 = 56 =

12. Area of Triangles
𝐴𝑟𝑒𝑎= 𝑏∗ℎ 2
Altitude (h) = perpendicular to base
Grab a whiteboard.
Work on the problem assigned to you.
Bring your whiteboard to the front when you are done.