Question

Через кінець А відрізка АВ проведено площину. Через кінець В і точку С цього відрізка проведено паралельні прямі, які перетинають площину в точках В1 і С1. Знайдіть АВ, якщо ВВ1 = а, ВС = b, СС1 = с.

Answer 1

Ответ:

Відповідь: 6 см

Пояснення:на фото

Answer 2

Problem Analysis

We are given a line segment AB and a plane passing through one of its endpoints, A. Another line segment is drawn through the endpoint B and a point C on the line segment AB. This line segment is parallel to the plane and intersects the plane at points B1 and C1. We need to find the length of AB given that BB1 = a, BC = b, and CC1 = c.

Solution

To solve this problem, we can use the concept of similar triangles. Let's consider triangle ABC and triangle AB1C1.

Since line segment BC is parallel to the plane, we can conclude that triangle ABC and triangle AB1C1 are similar. This means that the corresponding sides of these triangles are proportional.

Let's denote the length of AB as x. Using the concept of similar triangles, we can set up the following proportion:

AB/BB1 = BC/CC1

Substituting the given values, we get:

x/a = b/c

To find the value of x, we can cross-multiply and solve for x:

x = (a * b) / c

Therefore, the length of AB is equal to (a * b) / c.

Answer

The length of AB is equal to (a * b) / c.

Please let me know if I can help you with anything else.