Answer : The correct option is, (B) 29
Step-by-step explanation :
As we know that midsegment is defined as the line segment that connecting the midpoints of two sides of a triangle.
The property of midsegment is:
A triangle midsegment is parallel to the third side of the triangle and is the half of the length of the third side.
As we are given that:
Length of AC = 58
Now we have to determine the length of DE.
According to the midsegment property:
Length of DE =
![\frac{\text{Length of AC}}{2}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hehzf3lrhpis2ydvj1azbl4uk9g70le3c7.png)
Length of DE =
![(58)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uh342am85khqlyx1vgxym2rqdawei1ihyo.png)
Length of DE = 29
Thus, the length of the midsegment DE is, 29