Secondary Math – Pythagorean Theorem

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Presentation transcript:

Secondary Math 2 8.5 – Pythagorean Theorem To change the image on this slide, select the picture and delete it. Then click the Pictures icon in the placeholder to insert your own image. 8.5 – Pythagorean Theorem

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

8.1 Questions

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

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

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.

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? https://www.youtube.com/watch?v=CAkMUdeB06o

Solve for x

Solve for x x

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

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.