Geometry. A homeowner wishes to insulate her attic. The inusltaion is in 40-cm wide rolls that are cut to fit

Question

between the raftors in the attic. If the roof is 7m 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?

Answer 1

The roof of the attic and from the peak to the attic and then the floor of the attic form a right tirangle. You can then use:

c^2 = a^2 + b^2

Distance from eave to peak = c = 7m
Height at peak = b = 3m

Length = a = SQRT(7^2 - 3^2) = SQRT(40)
Length = 6.33 meters