Lösungen
`d = sqrt 2 * a => d/2 = sqrt 2 / 2 * a => s = sqrt(d^2/4 + h^2) = sqrt( (a sqrt 2 /2)^2 + (8 sqrt 2)^2 ) = sqrt( 32 + 128 ) = sqrt 160 = 4 sqrt 10 ~~ 12.65` b) `a/2 = sqrt( 15^2 - 10^2 ) = sqrt 125 = 5 sqrt 5 ~~ 11.18` `d/2 = a/2*sqrt 2 = 5 sqrt 5 * sqrt 2 = 5 sqrt 10 ~~ 15.81` `s = sqrt((d/2)^2+h^2) = sqrt((5 sqrt 10)^2 + 100) = sqrt 350 = 5 sqrt 14 ~~ 18.71` |