Question

Помогите срочно Известно, что длина сторон осевого сечения конуса 29; 29 и 42 ед. изм. Найди длину высоты H конуса.

Answer 1

Ответ:

20

Пошаговое объяснение

Answer 2

Finding the Height of a Cone

To find the height (H) of a cone, given the lengths of the sides of its axial section, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the axial section of the cone forms a right triangle, with one side being the height (H) of the cone and the other two sides being the lengths of the sides of the axial section.

Let's denote the lengths of the sides of the axial section as a, b, and c. According to the problem, we have:

a = 29 units b = 29 units c = 42 units

We want to find the length of the height (H) of the cone.

Using the Pythagorean theorem, we can write the equation:

a^2 + b^2 = c^2

Substituting the given values, we have:

29^2 + 29^2 = 42^2

Simplifying the equation:

841 + 841 = 1764

1682 = 1764

To solve for H, we take the square root of both sides of the equation:

H = √1764

Calculating the square root:

H ≈ 42.04 units

Therefore, the length of the height (H) of the cone is approximately 42.04 units.