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Posts tagged with Pythagoras

Pythagoras Statue on Island of Samos

April12

Pythagorio is built on the ancient city of Samos. Some ruins of the ancient city are today incorporated in modern houses of Pythagorio. The ancient city reached affluence around 530 B.C. under the tyrant Polycrates. At that time Samos became a powerful nautical state. This power led to richness and prosperity, which is evident from […]

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Dance of the Pythagorean Triangles …

October3

You saw it here first, and H3 saw it on its world tour (not quite earning what Ed Sheeran did on his recent tour) but still pretty cool. Now, getting back to Ed, here are the stats: According to The Sun, the pop star paid himself a whopping NZ$33.6 million – the equivalent of $92,000 […]

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Oxford Entrance Exam Math Q

October12

Q: Imagine a ladder leaning against a vertical wall with its feet on the ground. The middle rung of the ladder has been painted a different colour on the side, so that we can see it when we look at the ladder from the side on. What shape does that middle rung trace out as […]

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Pythagoras surfs up a right-angled triangle

February26

Seen on the lake during a school day – 3 surfers making a right-angled triangle! Now, can you identify the hypotenuse (answer in the Post Support column)?

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The solutions are in the manual!

July7

Some time ago, H3 picked up a repair manual used by the Army when working on vehicles that had broken down. We expected a complex, technical manual but were really surprised at the simple layout. For example, when faced with a vehicle that won’t start, there are just two possible faults – no fuel or […]

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Did Pythagoras have any children?

November18

We are not certain if Pythagoras had any children but he had several well known triplets – here are three of them! See more Pythagorean Triplets here! (H3 Note: we are often responsible for the poor humor on this site)

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Could Pythagoras do your Mathematics?

November18

Before we answer that question, let’s see who Pythagoras was! Actually, there is so much fact and fiction surrounding Pythagoras that it is sometimes difficult to locate the real hypotenuse, but at least we can try! Most Greeks at this time (6th Century BC) believed that gods and spirits moved in the trees and the […]

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Take one tablet a day to become a better mathematician

September7

This is an ancient clay tablet (aka school book) discovered in Babylonia in the second millennium B.C. – some 1000 years before Pythagoras. You will notice that is shows, within the square, an isosceles triangle with a diagonal hypotenuse. The Babylonians understood the relationship between the sides of a right-angled triangle, and, in solving for the hypotenuse, […]

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A Restful Part of a Right Triangle

February22
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Recreational Mathematics puts the Babylonians ahead of Pythagoras

February6

In this CNN article: “Over 1,000 years before Pythagoras was calculating the length of a hypotenuse, sophisticated scribes in Mesopotamia were working with the same theory to calculate the area of their farmland. Working on clay tablets, students would “write” out their math problems in cuneiform script, a method that involved making wedge-shaped impressions in the […]

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Post Support

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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