Question

В треугольнике CDK,CD=8 см,KD=6 см и CK= 4 см.Найдите медиану DM

Answer 1

Медиана делит сторону на два одинаковых отрезка. Находишь косинус угла напротив медианы. Потом снова по теореме косинусов находишь уже медиану, так как косинус напротив ты знаешь, одна сторона дана, а вторая делится медийной пополам.

Answer 2

Triangle CDK

To find the median DM in triangle CDK, we can use the fact that the median of a triangle connects a vertex to the midpoint of the opposite side. In this case, we need to find the midpoint of side CK and connect it to vertex D to find the median DM.

Finding the midpoint of CK

To find the midpoint of CK, we can use the formula for finding the midpoint of a line segment, which states that the coordinates of the midpoint are the average of the coordinates of the endpoints. In this case, CK is a line segment in a triangle, so we can find the midpoint by averaging the coordinates of points C and K.

Given that CD = 8 cm, KD = 6 cm, and CK = 4 cm, we can find the coordinates of C and K as follows:

- Point C: Since CD = 8 cm, the coordinates of C can be found by moving 8 cm in the direction of CD from point D. - Point K: Since KD = 6 cm, the coordinates of K can be found by moving 6 cm in the direction of KD from point D.

Let's calculate the coordinates of C and K:

- Coordinates of C:- Coordinates of K:

Finding the midpoint of CK (continued)

Now that we have the coordinates of points C and K, we can find the midpoint of CK by averaging the coordinates. Let's calculate the midpoint:

- Midpoint of CK:

Finding the median DM

Finally, we can find the median DM by connecting the midpoint of CK to vertex D. The length of the median DM is equal to half the length of CK. Since CK = 4 cm, the length of DM is:

- Length of DM: 2 cm

Therefore, the median DM in triangle CDK is 2 cm.

Please let me know if there's anything else I can help you with!