Question

Точка D, C, E лежат на одной прямой. Какая из этих трех точек лежит между двумя другими, если : DE=8 cm , Dc=3 cm, Ce=5 cm? Заранее спасиба!

Answer 1

Given Information:

We are given three points on a line: D, C, and E. The lengths of the line segments are as follows: - DE = 8 cm - DC = 3 cm - CE = 5 cm

Analysis:

To determine which point lies between the other two, we can compare the lengths of the line segments. The point that lies between the other two will have a line segment length equal to the sum of the other two line segment lengths.

Let's analyze the given information: - DE = 8 cm - DC = 3 cm - CE = 5 cm

Solution:

To find the point that lies between the other two, we need to check which point has a line segment length equal to the sum of the other two line segment lengths.

Comparing the lengths, we find that: - DE + DC = 8 cm + 3 cm = 11 cm - DC + CE = 3 cm + 5 cm = 8 cm - DE + CE = 8 cm + 5 cm = 13 cm

From the above comparisons, we can conclude that point C lies between points D and E because the length of line segment DC (3 cm) is equal to the sum of the lengths of line segments DE (8 cm) and CE (5 cm).

Therefore, point C is the point that lies between points D and E.

I hope this helps! Let me know if you have any further questions.