Three Dogs

 

Source: Puzzle Move

Pythagoreas' Dream

 

  

The total area of white squares around the right-angled triangle is 450 square meters. 

Find the area of the triangle. 

altered from nRich

Donkey and the Lake

 

source: @Math26039335

 

 

 

 

 

 

 

 

 

Pythagorean Triplets Card Sort 2

 On Jamboard, work with your group friends to organize the following cards into Pythagorean triplets.

 

 

Part 1 (with cards)

Blue Ring Area

 Find the blue area.

 

 

 

 

 

 

 

 

 

Source:@dment37 

Answer 25 pi square cm

Circle in the triangle

 

Resource: New Scientist

 

Proving the Pythagorean Theorem

 

Image credits: https://cd1.edb.hkedcity.net/cd/maths/en/ref_res/MATERIAL/MSS_e/Exemp21.pdf and https://www.history-of-mathematics.org/artifacts/zhoubi-suanjing-pythagorean-theorem-proof

Pythagorean Triplets

 3-4-5 is a Pythagorean triplet.

Organize the following cards such that you will have five Pythagorean triplets.

Part 2 (Jamboard)

Pythagorean Day

 

 

Problem 123: Squares

The side lengths of the three squares are consecutive integers. What’s the total area?

Source Catriona Shearer

Problem 119: Hypotenuse

Problem 101: Circle in the Triangle

Source: @ariya_7213

Math Pics 12: Pythagoras Theorem

Source: What's Your Angle Pythagoras? by Julie Ellis

Rich Tasks 46: Student-Led Pythagoras Activity

Edit: Write a random number also for BC above.

Problem 94: Area Between 3-4-5 Triangles

Problem 83: Jersey Numbers 2

https://www.bbc.com/news/world-asia-44791998

Three footballers were having a chat after the training. Having a keen interest in numbers, one of them said:

 -“You know if I square your jersey numbers, and then subtract one from the other, the difference will give my jersey number.”

Others were impressed with this, and they also decided to find mathematical properties of their jersey numbers. The second player said:

-“The number on my jersey is the difference of your jersey numbers.”

It was the turn for the third player. He said: 

-“The numbers on your backs are prime numbers.”

Can you find the jersey number of each player?

Problem 68: Toppled Square

What is the area of the toppled square?

Resource: @Cshearer41

What’s the area of the toppled square? pic.twitter.com/77yHacED5Y

— Catriona Shearer (@Cshearer41) August 7, 2018

Problem 66: Soccer and Pythagoras

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image credit

Beautiful Gifs 6

via GIPHY

via GIPHY

Problem 13: Circles inside the square

The pink circle has radius R, and orange circle has radius r.

Find the length of R in terms of r.

This problem is moderated from here.