Question

Пряма а перпендикулярна до пдощини і перетинає її в точці О. Точка К лежить на прямій а і віддалена від площини на 32 см, а від точки N, яка належить площині, на 40 см. Знайти довжину відрізка NО.​

Answer 1

Легко прочитывается теорема Пифагора в этой задаче, КО- это перпендикуляр к плоскости, КО=32 см, КN- это наклонная, КN=40 см, а ОN- это проекция наклонной KN на плоскость, которая подлежит определению. из ΔКON: NO=√(KN²-KO²)=√(40²-32²)=√(8*72)=8*3=24/см/

Ответ 24 см

Answer 2

To find the length of segment NO, we need to analyze the given information. Let's break it down step by step:

1. We have a plane (let's call it plane P) and a line (let's call it line A) that is both perpendicular and intersects the plane at point O.

2. We also have another point K on line A, which is 32 cm away from the plane.

3. Additionally, we have another point N on the plane, which is 40 cm away from point K.

Now, let's find the length of segment NO.

Step 1: Understanding the situation

We have a plane P, a line A, and a point O where line A intersects plane P. We also have points K and N, with point K on line A and point N on plane P.

Step 2: Analyzing the given information

- Point K is 32 cm away from plane P. - Point N is 40 cm away from point K.

Step 3: Finding the length of segment NO

To find the length of segment NO, we need to consider the distances between the points and the plane.

Since point K is 32 cm away from the plane and point N is 40 cm away from point K, we can add these distances to find the total distance between point N and the plane.

Therefore, the length of segment NO is 32 cm + 40 cm = 72 cm.

Please let me know if you need any further clarification or assistance!