3 years ago

Please help with this question!! HELP ASAP!!

Mathematics

1 answer:

Anastaziya [24]3 years ago

3 0

Answer:

DG is 8.75.

Step-by-step explanation:

Because we have an isosceles triangle with a perpendicular bisector, we have two identical triangles which share equal sides. We know DF is 14 and FG is 4x. These are corresponding sides and we set them equal.

4x=14

x= 3.5.

We also know DE=EG and that DE=1.25x.

We substitute this term and x=3.5.

1.25x=EG

1.25(3.5)=EG

EG is 4.375.

We double 4.375 to find the whole segment DG since they are equal halves. DG is 8.75.

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