# Solve Prof. John Mentriffe's Triangle Puzzle

• anvesh111
In summary, the conversation discusses a new theory proposed by a professor in MIT that challenges traditional concepts about the area of triangles. The theory suggests that even when parts of a shape are rearranged, the overall area remains unchanged. However, an optical illusion is presented as a counterexample to this theory. The illusion shows two triangles with different slopes, but the same area. Ultimately, the conversation concludes that the illusion is caused by our eyes perceiving straight lines, and not noticing slight bulges or tucks.
anvesh111

We have learned from our childhood that area of an entire body (triangle, circle, rectangle etc) is equal to the sum of area of the parts it contains... and even if these parts are arranged differently, the area remains unchanged... but this mail challenges this fact... Do let me know if you get an answer for this one...

Here's a puzzling new discovery:
Recently a professor in MIT has put a new theory on right-angled triangles that has challenged some accepted norms in Geometry. This theory, Prof. John Mentriffe says, will revolutionize area in mathematics that deals with calculation of motion objects in space and design of the Universe.

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oh i see it, they are not triangles. both the small triangles have different slopes. one triangle has a side ratio of 2:3 and another 8:3

It's an optical illusion, our eyes like to see straight lines, and we usually don't notice that they bulge or tuck unless we are told to...

## 1. What is Prof. John Mentriffe's Triangle Puzzle?

Prof. John Mentriffe's Triangle Puzzle is a mathematical puzzle that involves rearranging a set of numbers in a triangle to form a specific pattern.

## 2. How do you solve Prof. John Mentriffe's Triangle Puzzle?

To solve the puzzle, you need to follow a specific set of rules and use mathematical principles such as addition, subtraction, and multiplication to manipulate the numbers in the triangle until they form the desired pattern.

## 3. What is the purpose of Prof. John Mentriffe's Triangle Puzzle?

The purpose of the puzzle is to exercise critical thinking, problem-solving skills, and mathematical reasoning. It can also be used as a fun brain teaser or a teaching tool for students to improve their math abilities.

## 4. Is there only one solution to Prof. John Mentriffe's Triangle Puzzle?

Yes, there is only one solution to the puzzle. However, there may be multiple ways to reach the solution by following different sequences of steps.

## 5. Can anyone solve Prof. John Mentriffe's Triangle Puzzle?

Yes, anyone with basic mathematical knowledge and critical thinking skills can solve the puzzle with enough time and effort. It is a challenging puzzle, but with practice and perseverance, anyone can solve it.

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