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Posts tagged with triangles

A Mathematical Bridge?

February23

Queens’ College was founded 1448 by Margaret of Anjou, wife of King Henry VI. The first bridge on this spot was built in the 16th century, and gave direct access from President’s Lodge (built c.1460) on the east side of the Cam to the fields west of the river. The timber bridge was rebuilt in […]

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Shapes

March10

Have you ever wondered why we put a round pizza into a square box and cut it into triangles? Don’t worry – most of us never think about it. But here is the exploration – check out what other shapes pizzas come in and find the most economic design.

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What fraction of the square is the pink triangle?

April27

Using your knowledge of Areas, work out what fraction the pink triangle is of the square (answer soon in post support):

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Similar Triangles made easy

June23

There are some quite complicated and unnecessary complexities with Similar Triangles for some students. Let’s try and keep it simple. Look at the two triangles below. They look similar but, first, what do we mean by “Similar”? Similar means that one triangle is an enlargement of another. In other words, one triangle has been scaled […]

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Triangles…

December13

In this one of several posts on Triangles is a photo taken from an early French postcard, where children are using a triangle to play marbles;

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Triangles in Everyday Life

June3

We find triangles all around us – whether in construction, surveying, flight paths, bridge design or in fabric shapes and tiles. This picture shows a clever use of equilateral triangles on a building in Brisbane city. You can find 38 jobs that use congruent triangles here! Find out more about the properties of triangles with […]

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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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Triangles and the Art Deco of Mathematics

May16

This image comes from a collection taken in Napier, New Zealand – the Art Deco Capital of the world; Triangles are used everyday, especially in design across a wide range of careers (design, landscaping, architecture) and, as seen above, in the strong patterns of the Art Deco movement. Much of Napier was destroyed during a […]

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How Many Triangles?

February3

The header photo was taken in Brisbane on the roof of the Arts building. The use of triangles is very strong in the architectural design. I wonder how many there are in the photo? Before I figure that out I wonder how many triangles I can find in this simpler design?

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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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