Lösungen Mathematik

S. 46 / 6 a)

x² = (5 cm)² + (8 cm)²
x² = 25 cm² + 64 cm²
x² = 89 cm²
=> x = 9,43 cm

S. 46 / 6 c)

(15 cm)² = (1 dm)² + z²
225 cm² = 100 cm² + z²
125 cm² = z²
=> z = 11,18 cm

S. 47 / 8

Die Diagonale darf maximale 2,40 m groß sein.
(0,60 m)² + h² = (2,40 m)²
0,36 m² + h² = 5,76 m²
h² = 5,40 m²
=> h = 2,32 m

S. 47 / 9 a)

A = 71,4 a = 7140 m² , b = 105 m
A = b * h => h = A / b = 68 m
d² = h² + b²
d² = (68 m)² + (105 m)²
d² = 4624 m² + 11025 m²
d² = 15649 m²
=> d = 125,1 m