In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 4x + 4, and AC = x + 36, what is the measure of DE?
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D
E
A
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DE = 20 units

Step-by-step explanation:

GIVEN :-

D & E are the mid-points of AB & BC respectively.DE = 4x + 4AC = x + 36

TO FIND :-

Measure of DE

FACTS TO KNOW BEFORE SOLVING :-

The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle.The Triangle Midsegment Theorem tells us that a midsegment is one-half the length of the third side (the base), and it is also parallel to the base.

PROCEDURE :-

According to Triangle Midsegment Theorem ,

Multiplying 2 on both the sides ,

∴ DE = 4×4 + 4 = 20 units

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