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1. A garage door is 4m longer that it is wide and 1 m higher than it is wide.

The longest pole which can fit in side the garage is 7.5m long.

How wide is the garage?

Okay, I get the height to be x+1 , length to be x+4 and then the width to be x

This involves quadratics but surely the length equals x+4 as it fits in the garage? Meaning that x, the width is 3.5m?

But this is wrong according to the answers..
any ideas?
2. the longest distance will be a diagonal. try some 3d pythagoras.
3. (Original post by Phredd)
the longest distance will be a diagonal. try some 3d pythagoras.
so it would be (x+4)^2 + (x+1)^2 = 7.5?
so it would be (x+4)^2 + (x+1)^2 = 7.5?
That's a diagonal across one side. Don't forget you are in 3 dimensions so you can have an even longer diagonal that involves the lengths of all 3 sides!
5. (Original post by davros)
That's a diagonal across one side. Don't forget you are in 3 dimensions so you can have an even longer diagonal that involves the lengths of all 3 sides!
ehhh I am not exactly sure what you mean :/
ehhh I am not exactly sure what you mean :/
Have you done 3-D co-ordinates

Or any 3-D Pythagoras

For example , can you find the distance between (1, 2, 4) and (3, 6, 5)
7. (Original post by TenOfThem)
Have you done 3-D co-ordinates

Or any 3-D Pythagoras

For example , can you find the distance between (1, 2, 4) and (3, 6, 5)
nope I have never done that... wasnt on my GCSE course and I have not done it at alevel
nope I have never done that... wasnt on my GCSE course and I have not done it at alevel
Pythagoras in 2D:

Pythogaras in 3D:

It certainly was part of your GCSE course.
nope I have never done that... wasnt on my GCSE course and I have not done it at alevel
Ok

Well the diagonal in 3_D space is given by

nope I have never done that... wasnt on my GCSE course and I have not done it at alevel
Are you self-teaching or do you have a teacher who can go through this with you?

There's basically a very simple extension of Pythagoras's theorem from 2 dimensions to 3 dimensions that will help you solve this, but you probably need to do some practice questions with it to see what's going on.

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Updated: March 22, 2013
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