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3 years ago

What is the length of Line segment G D? GD =___

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

4 0

8/6 = 14/x
8x = 84
x = 10.5
The length of GD = 10.5
** I think that is right not positive

andrey2020 [161]3 years ago

3 0

Answer: 10.5 units

Step-by-step explanation:

Basic proportionality theorem says that if a line is drawn parallel to one side of a triangle intersecting the other two sides then it divides the two sides in the same ratio.

In the given triangle DEF , Line segment GH is drawn parallel to segment EF also GH is intersecting the other two sides ED and FH at G and H respectively.

GE= 6 units , DH = 14 units , HF = 8 units.

Then by Basic proportionality theorem , we have

$\dfrac{DG}{GE}=\dfrac{DH}{HF}\\\\\Rightarrow\dfrac{DG}{6}=\dfrac{14}{8}\\\\\Rightarrow\ DG=\dfrac{14}{8}\times6=10.5$

Hence, the length of Line segment GD = 10.5 units.

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