Question

Heinz bastelt eine neue Hundebox für den Transport in seinem Pkw. Damit der Hund die Box nicht verlassen kann, muss eine seitliche Abdeckung gebaut werden. Berechne die fehlende Seitenlänge! a) h = 6dm s = 10dm b) h = 8dm s = 17dm c) h = 5dm s = 13dm d) h = 12dm s = 15dm please I neeed it for tomorrow

Answer 1

To calculate the missing side length of the dog box, we need to use the Pythagorean theorem, which states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the diagonal of the side panel we need to construct.

Let x be the missing side length, then we have:

a) h = 6dm, s = 10dm

x² = 10² - 6²

x² = 100 - 36

x² = 64

x = 8dm

b) h = 8dm, s = 17dm

x² = 17² - 8²

x² = 289 - 64

x² = 225

x = 15dm

c) h = 5dm, s = 13dm

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = 12dm

d) h = 12dm, s = 15dm

x² = 15² - 12²

x² = 225 - 144

x² = 81

x = 9dm

Therefore, the missing side length for each case is:

a) 8dm

b) 15dm

c) 12dm

d) 9dm