Verified Answer :

dalendrk

\(\dfrac{2x}{39}=\dfrac{62}{39+39}\\\\\dfrac{2x}{39}=\dfrac{62}{78}\ \ \ \ |cross\ multiply\\\\2x\cdot78=39\cdot62\\\\156x=2418\ \ \ \ |divide\ both\ sides\ by\ 156\\\\\boxed{x=15.5}\)

Answer:

\(x=15.5\)

Step-by-step explanation:

We are given with the diagram with mid segment in a triangle

If we have a mid segment in a triangle and it is parallel to the other side then we use formula

mid segment = half of base of the triangle

\(2x= \frac{1}{2} * 62\)

\(2x= \frac{62}{2}\)

\(2x=31\)

Divide both sides by 2

\(x=15.5\)

The value of \(x=15.5\)

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