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Posts tagged with Pythagoras

Fathers’ Day by the Numbers

September2

It is Fathers’ Day here in Australia. Pythagoras is regarded by mathematician and “The Father of Numbers.” This morning I also came across these number facts about Fathers’ Day: “Every year on the third Sunday in June, we celebrate Dad with his own day.  The idea sprang from the mind of one woman who thought […]

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Proving the Pythagoras Rule

June16

The Rule of Pythagoras for right-angled triangles is a core part of most Junior High School Maths courses. It states that the area on the longest side (the hypotenuse) is equal to the sum of the squares on the other two sides: Pythagoras didn’t use algebra to express this theorem, of course. Algebra wasn’t developed […]

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Cool Maths Tool in Google Earth

June5

Explore the elevations of a particular path through the Elevation Profile in Google Earth. To start, either draw a path or open an existing one. Once you’ve chosen a path from the Places panel, there are two ways to see its Elevation profile. Either go to Edit > Show Elevation Profile, or right-click on your path from the Places panel […]

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Why call the longest side a Hypotenuse??

May19

from http://mlkshk.com  

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Take Care – when you study triangles you might just end up looking like one…

May18

Yes, an astonishing discovery by our dear blogger – Pythagoras, in profile, has a head shaped like a….wait for it….tension mounts … like a ….A RIGHT-ANGLED TRIANGLE! Here is the proof (pun intended);

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Jesus and the 345 Triangle of Pythagoras

March29

A question which caught my attention recently was, “Would Jesus Christ (the carpenter from Galilee) have used the 3,4,5 Triangle property from the Pythagoras theorem for right-angled triangles?” Most carpenters and home handymen use this regularly to square walls, etc. What do you think?

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Fields Medal Part II

January25

Yes, here is the follow up to the earlier post. Mr Vaughan Jones is an old boy of the school (Auckland Grammar School) in Auckland that I taught at for many years. He was awarded the Fields Medal in 1990 for his amazing work on the Mathematics of Knots. Mr Jones also famously wore a New […]

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Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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