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In parallelogram DEFG, DE=6 Inches and DF= 6.4 Inches. Diagonals GE and DF Intersect at point H. If GH=4 inches, what is the length of GE?

In Parallelogram DEFG DE6 Inches And DF 64 Inches Diagonals GE And DF Intersect At Point H If GH4 Inches What Is The Length Of GE class=

Sagot :

SOLUTION

Consider the figure below:

It is given that the diagonals DF and GE intersects at H

Recall that the daigonals of parallelogram bisect each other

It follows:

[tex]GH=HE[/tex]

Since it is given that GH=4, it follows:

[tex]HE=4[/tex]

Using segment addition postulate, it follows:

[tex]\begin{gathered} GE=GH+HE \\ GE=4+4 \\ GE=8 \end{gathered}[/tex]

Therefore the required answer is GE=8 inches

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