Question

Основанием прямой призмы является прямоугольный треугольник с катетами 12 см и 5 см а высота призмы равна 8 см вычислите диагональ большей боковой грани

Answer 1

Найдем гипотенузу основания  = корень(12^2+5^2)=13
искомая диагональ =корень(13^2+8^2)=корень из 233

Answer 2

Calculation of the Diagonal of the Larger Lateral Face of the Prism

To calculate the diagonal of the larger lateral face of the prism, we can use the Pythagorean theorem. The larger lateral face is a rectangle with sides measuring 12 cm and 5 cm, and the height of the prism is 8 cm.

Let's denote the diagonal of the larger lateral face as D.

Using the Pythagorean theorem, we have:

D^2 = (12 cm)^2 + (5 cm)^2

Calculating the squares of the side lengths:

D^2 = 144 cm^2 + 25 cm^2

D^2 = 169 cm^2

Taking the square root of both sides to find D:

D = √(169 cm^2)

D = 13 cm

Therefore, the diagonal of the larger lateral face of the prism is 13 cm.