SOLUTION: I am wondering if I factored this correctly? The roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need t

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Question 40689: I am wondering if I factored this correctly?
The roof is 7 m from peak to eave and the attic space is 3 m high at the peak, how long does each of the pieces of insulation need to be?
I come up with x = 33

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Hmmm...let's see if I've got this right:
The roof is 7 meters from peak to eave. This forms one side (the hypotenuse) of a right triangle, right?
The attic space is 3 meters high at the peak. This forms the perpendicular height of the same of the same right triangle.
So you need to find the distance, x, of the base of this triangle, and this goes halfway across the attic.
Calling upon Pythagorus, you have:
7%5E2+=+x%5E2+%2B+3%5E2
49+=+x%5E2+%2B+9 Subtracting 9 from both sides:
x%5E2+=+40 Taking the square root of both sides, you'll get:
x+=+6.3 meters.
Now since this is halfway across the attic, you'll need to double this to get 12.65 meters (Approximtely)