A Fun Question on Pythagorus Theorem

[Sreenath V]

Here is a question. It is fun to answer this.

Hint: Your answers are likely to contradict.

[Abhishek Kumar]

A and D option. The path rook is following is horizontal distance and vertical distance. However the path Bishop is following is slanting distance. In terms of distance you can apply pythagoras theorem and get it, Since the question doesn't ask about the distance but in terms of squares, thus option A.

[mohan palanisamy]

Applying ab^2+bc^2=ac^2

7^2+7^2 = ans is not matching

Regards
Mohan

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[Venkatesan Shesha Srikanth]

Hi sreenath,

                Thank you so much for bringing up questions like this on the discussion forum.   

Regards,

Srikanth Venkatesan

Course Instructor

IITM Online Degree Project

IIT Madras.

[mohan palanisamy]

Sir answer please

Regards
Mohan

[Malabika Guha Mustafi]

@mohan,

Abhishek is right.

if distance is to be asked then option b.

Actually it is not contradicted the concepts.

The distance here is the diagonal of the square.

[Sanjaykumar]

A and C

(I don't know why C, I think, it is because taking square root (8 x sqrt(2)) is different than counting squares (8). So counting squares will help here, if pythagoras theorem is not applied.)

( If A is true then C is true and D and D can not be true.

   and if B is true then D is true and C and A can not be true.)

[Malabika Guha Mustafi]

Yes, for distance B and D are true , but for square A and C are true.

[mohan palanisamy]

Bishop has to move 8 sq horizontal and 8 sq vertically in the short route, little bit in confusion, need better clarity. 

Regards
Mohan

[mohan palanisamy]

Correcting

Regards
Mohan

On Sat 7 Nov, 2020, 3:19 PM mohan palanisamy, <mohan...@gmail.com> wrote:

Rook has to move 8 sq horizontal and 8 sq vertically in the short route, little bit in confusion, need better clarity. 

Regards
Mohan