Question

З точки К опущено перпендикуляр КN=12см на пряму А і проведено похилі КР=13см і KQ=15см Знайти різницю між проекціями цих похилих​

Answer 1

Ответ:

то бы найти NP (проекцию) необходимо воспользоваться теоремой Пифагора (т.к. у нас получился прямоугольный треугольник)

Ответ: проекция = 5 см

Объяснение:

Answer 2

Solution for Finding the Difference Between the Projections of the Oblique Lines

To find the difference between the projections of the oblique lines, we can use the given information about the perpendicular and the oblique lines to calculate the projections and then find their difference.

Given: - Perpendicular KN = 12 cm - Oblique line KR = 13 cm - Oblique line KQ = 15 cm

Calculating the Projections of the Oblique Lines

First, we need to calculate the projections of the oblique lines. The projection of a line on another line is the length of the perpendicular from a point on the line to the other line.

The projection of KR on KN can be calculated using the formula: Projection of KR on KN = (KR * KN) / |KN|

Similarly, the projection of KQ on KN can be calculated using the formula: Projection of KQ on KN = (KQ * KN) / |KN|

Where |KN| represents the magnitude of the line KN.

Calculating the Difference Between the Projections

Once we have the projections of the oblique lines, we can find their difference by subtracting the smaller projection from the larger projection.

Let's calculate the projections and find the difference:

1. Projection of KR on KN: - Projection of KR on KN = (13 * 12) / 12 = 13 cm

2. Projection of KQ on KN: - Projection of KQ on KN = (15 * 12) / 12 = 15 cm

Now, we can find the difference between the projections: Difference = |Projection of KQ on KN - Projection of KR on KN| Difference = |15 - 13| = 2 cm

Therefore, the difference between the projections of the oblique lines KR and KQ on the perpendicular KN is 2 cm.