
АBCD параллелограмм найти C, D


Ответы на вопрос

ΔАВС - равнобедренный, значит АЕ-биссектриса угла А. Угол А=32⁰·2=64⁰
Так как у параллелограмма противоположные углы равны , то угол С=углу А=64⁰, а угол В=углу D=180⁰-64⁰=116⁰
Ответ : угол С=64⁰, угол D=116⁰



Finding Points C and D in Parallelogram ABCD
To find points C and D in parallelogram ABCD, we can use the given information about the lengths of the sides and the coordinates of point A.
According to the given information, we know that: - BC = 10 - CD = 8 - AB = (-5, -2, 9)
To find point C, we need to determine its coordinates. We can use the fact that AB is parallel to CD and AB is equal to -CD. This means that the vector AB is equal to the negative of the vector CD.
Using the coordinates of point A and the given information, we can set up the following equations:
5 - x = -5 9 - y = -2 7 - z = 9
Solving these equations, we find that x = 10, y = 11, and z = -2. Therefore, point C has the coordinates (10, 11, -2).
To find point D, we can use the fact that a parallelogram has opposite sides that are equal in length. Since BC = 10 and CD = 8, we can conclude that AD = 10 and AB = 8.
Using the coordinates of point A and the lengths of AD and AB, we can find the coordinates of point D. Adding the lengths of AD and AB to the coordinates of point A, we get:
x = -5 + 10 = 5 y = -2 + 10 = 8 z = 9 + 8 = 17
Therefore, point D has the coordinates (5, 8, 17).
In summary, the coordinates of point C in parallelogram ABCD are (10, 11, -2), and the coordinates of point D are (5, 8, 17).
Note: The information provided in the search results was limited and did not directly provide the coordinates of points C and D. The calculations and explanations provided above are based on the given information and the properties of parallelograms.


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