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the length of DE would be 4 units, since it is half of AC, which is 8 units.
Answer:
[tex]DE=\text{4 units}[/tex]
Step-by-step explanation:
We have been given that triangle ABC is an isosceles triangle with AB=BC. We are also told that D and E are midpoints of AB and BC respectively.
To find the length of segment DE, we will use mid-segment theorem, which states that length of line segment joining midpoints of two sides of triangle is half the measure of third side of triangle.
So we can set an equation to find the length of DE as:
[tex]DE=\frac{1}{2}\times AC[/tex]
[tex]DE=\frac{1}{2}\times\text{8 units}[/tex]
[tex]DE=\text{4 units}[/tex]
Therefore, the length of DE is 4 units.