Answer:
Value of x is, 15
Step-by-step explanation:
Given: DE = 5x and BC = 11x -15
Mid-segment theorem states that it connecting two sides of a triangle is parallel to the third side and is half as long.
In triangle ABC,
D is the midpoint of AB and E is the midpoint of AC as shown in the figure below.
So, DE is the mid-segment.
Therefore, by Mid-Segment theorem;
Substitute:
Multiply both sides by 2 we get;
Simplify:
Subtract 11x from both sides we get
10x -11 x = 11x -15 - 11x
Simplify:
- x = -15
or
x = 15
Therefore, the value of x is, 15
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Step-by-step explanation:
