Question

А(8;2) В(0;8) С(4;10)Модуль CD угол А ​

Answer 1

Ответ:

Это не биология

Объяснение:

Выбирайте правильней тему

Answer 2

To find the length of CD and the angle at A, we can use the distance formula and trigonometric functions.

The length of CD can be calculated using the distance formula:

CD = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, C(4, 10) and D(x, y), where we need to find the coordinates of point D.

CD = sqrt((4 - x)^2 + (10 - y)^2)

Now, let's calculate the coordinates of D using the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints:

(x + 4)/2 = 8/2 -> (x + 4)/2 = 4 -> x + 4 = 8 -> x = 4 (y + 10)/2 = 2/2 -> (y + 10)/2 = 1 -> y + 10 = 2 -> y = -8

So, D(4, -8).

Now we can substitute the values into the distance formula:

CD = sqrt((4 - 4)^2 + (10 - (-8))^2) = sqrt(0^2 + 18^2) = sqrt(0 + 324) = sqrt(324) = 18

The length of CD is 18.

To find the angle at A, we can use trigonometric functions. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side:

tan(θ) = opposite/adjacent

In this case, the opposite side is CD, and the adjacent side is AC. Let's calculate AC using the distance formula:

AC = sqrt((4 - 8)^2 + (10 - 2)^2) = sqrt((-4)^2 + 8^2) = sqrt(16 + 64) = sqrt(80) = 4√5

Now we can calculate the angle at A using the inverse tangent function:

θ = arctan(CD/AC) = arctan(18/(4√5))

To find the angle in degrees, we can use a calculator or approximation methods. The approximate value of the angle at A is:

θ ≈ 77.22 degrees