The primary advantage of the delta wing design is that the wing's leading edge remains behind the
shock wave generated by the nose of the aircraft when flying at
supersonic speeds, which is an improvement on traditional wing designs. While this is also true of highly
swept wings, the delta's planform carries across the entire aircraft, allowing it to be built much more strongly than a swept wing, where the spar meets the fuselage far in front of the
center of gravity. Generally a delta will be stronger than a similar swept wing, as well as having much more internal volume for fuel and other storage.
Not from WIKI - honest!
Swept wing (Wikipedia)
A
swept-wing is a wing
planform common on jet
aircraft capable of near-sonic or
supersonic speeds. The wings are swept back instead of being set at right angles to the
fuselage which is common on propeller-driven aircraft and low-speed jet aircraft. This is a useful
drag-reducing measure for aircraft flying just below the
speed of sound, though straight wings are still favored for slower cruise and landing speeds and aircraft with long range or endurance. Swept-wings provide lateral stability and it was for this reason that the concept was first employed in the designs of
J.W.Dunne in the first decade of the 20th century, e.g. the
Dunne D.1.
Unusual variants of this design feature is
forward sweep, variable sweep wings, and pivoting wings. Swept wings as a means of reducing
wave drag were first used on jet
fighter aircraft. Today, they have become almost universal on all but the slowest
jets (such as the
A-10), and most faster
airliners and
business jets.