Length of diagonal from bottom to top

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Homework Help Overview

The discussion revolves around finding the length of a diagonal in a three-dimensional context, likely involving a rectangular solid. Participants are exploring the application of the Pythagorean theorem to determine the diagonal's length.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest adding a line to the sketch to clarify the problem. There are questions about which sides to select for applying the Pythagorean theorem. Some participants propose using the theorem multiple times and consider the diagonal as a vector.

Discussion Status

The discussion is active, with participants providing hints and suggestions to guide understanding. There is acknowledgment of clues that may help in solving the problem, but no consensus or resolution has been reached.

Contextual Notes

Participants are working with a sketch and a specific attachment that contains additional information. There is a reference to the application of the Pythagorean theorem in three dimensions, indicating that the problem may involve complex geometric relationships.

zak100
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length of botton to top diagonal of a solid p462.jpg
1. Homework Statement


I have to find the length of a diagonal from bottom to top. I don't know which formula i would be using? Please see the attachment for more information.

Homework Equations



May be pythagorous theorem. But i don't know which sides i have to select

The Attempt at a Solution


Sorry i need some hint.
Zulfi.
 
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Add one more line to the sketch and the way to solve this problem should become easier for you to see . The added line goes from point A to the point vertically below point B .
 
Last edited:
zak100 said:
View attachment 207943 1. Homework Statement

I have to find the length of a diagonal from bottom to top. I don't know which formula i would be using? Please see the attachment for more information.

Homework Equations



May be pythagorous theorem. But i don't know which sides i have to select

The Attempt at a Solution


Sorry i need some hint.
Zulfi.
To add to @Nidum 's comment:

The added line goes from point A to the corner of the box vertically below point B .
 
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zak100 said:
May be pythagorous theorem. But i don't know which sides i have to select
You'll need to use Pythagoras theorem twice.
 
Try thinking of the line drawn as the vector <10, 7, 2>
 
Hi,
Thanks everybody. Post# 3 provided a clue but i came to know about this when i solved the problem. The other clue is the application of pythagorus theorem on rectangular solids which i got from the following link: https://www.google.com.pk/imgres?im...ved=0ahUKEwiA__Hz3LjVAhVHBcAKHQACAMEQ9QEIJzAA

Let K be the point below B & C is connected to both A & K
AK^2 = AC^2 + CK^2
AB^2 = AK^2 + BK^2
AB^2 = AC^2 + CK^2 + BK^2 = 100 + 49 + 4 therefore AB = 3sqrt(17).

Thanks.

Zulfi.
 

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