Pythagorean Theorem
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Last updated about 6 years ago
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Please take a moment to complete the Student check-in. Please note you may complete the form anytime during the lesson. Link is also provided below the embed.
https://forms.gle/4payGUsQx9qjRkFr5
CCSS.MATH.CONTENT.8.G.B.6 Explain a proof of the Pythagorean Theorem and its converse.
CCSS.MATH.CONTENT.8.G.B.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS.MATH.CONTENT.8.G.B.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Pythagorean theorem is a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
https://youtu.be/OluCdrAXje4
https://youtu.be/l8-bnZh8Zuc
https://youtu.be/dl6Iw1X4NQo
The two shortest sides of a right triangle are called the legs, and the longest side is called the hypotenuse.
I completed the desmos geoboards activity
😎Choose an Emoji which best reflects your success in finding the length of the hypotenuse. 😉
Link for Windows users
https://youtu.be/YlDfGFBNPmA
Use Pythagorean Theorem to find the side length (leg) of a right triangle below
Determine the length of the unknown side of the right triangle.
Circle the facial expression which best reflects your success with finding the side length of a leg of a right triangle
Screencast of shortcut for finding a leg when given a a leg and hypotenuse is needed.
https://www.educreations.com/lesson/view/square-root-of-differences-of-squares/54688826/?ref=link
Scott and Mark are rock climbing. Scott is at the top of a 75‑foot cliff, when he throws a 96‑foot rope down to Mark, who is on the ground below. If the rope is stretched tightly from Mark’s feet to Scott’s feet, how far from the base of the cliff (directly below Scott) is Mark standing? Draw a diagram and label it. Then find the missing length. Is the length irrational?
Can knowing Pythagorean Triples help when determining the unknown sides of Right triangles?
https://youtu.be/F9YtVqyps1s
Optional Pythagorean Triple practice. All Triangles are multiples of the 3,4,5 triple
Please complete IXL R3 Pythagorean theorem: find the perimeter.
Important note. Once find the length of the unknown side be sure and add it to the other sides before entering your answer
Proving Pythagorean Theorem.
https://youtu.be/YompsDlEdtc
https://youtu.be/CAkMUdeB06o
https://youtu.be/uaj0XcLtN5c
You can determine whether or not a triangle is a right triangle, acute triangle, or obtuse triangle by using the Converse of Pythagorean Theorem
https://youtu.be/5xF4koIkUxE
tUse The converse of the Pythagorean theorem to determine what type of triangle will be formed given three side lengths. Then match the slide lengths to the type of triangle that is formed.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
5cm, 6cm, 7cm | arrow_right_alt | Right Triangle |
2cm ,11cm, 15cm | arrow_right_alt | Acute |
5cm, 12cm, 13cm | arrow_right_alt | Obtuse |
10cm ,15cm, 20cm | arrow_right_alt | Can't form a triangle |
You just learned about the Triangle Inequality Theorem.
Watch the video below before attempting the next problem
https://youtu.be/BiagrTl2y4o
Determine if the side lengths will form a triangle.
1 yrd, 3, yrds, 9 yrds
3 cm, 10 cm, 11 cm
2 ft, 10 ft, 11 ft
5 cm, 7 cm, 15 cm
3 in, 5 in 8 in
Forms a triangle
Won't form a triangle
What's the distance between the two points
Review how to find the distance given 2 points on a coordinate grid and check you answer.
Complete one of the finding the distance between to points
IXL: N.4 Find the distance between two points
MathGames: Find the Distance between Two Points (may not work or Ipad)
True or False. I completed the Desmos or Math Games activity. If true, circle the one you completed
Now lets put it all together
Please complete the Desmos activity Pythagorean Theorem
I completed the Desmos Pythagorean Theorem Activity
