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Lelu [443]
3 years ago
6

What is EG? EG = ____

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

EG = 26

Step-by-step explanation:

We use the angle-bisector theorem here

The theorem is that given an angle that is bisected in a triangle, it splits the opposite side into two parts, with the ratio of the sides facing the angle and the adjoining leg equal for the two bisections

So, we have this as;

EF/ED = GD/FG

x/24 = x+10/54

54(x) = 24)x + 10)

54x = 24x + 240

54x-24x = 240

30x = 240

x = 240/30

x = 8

But;

EG = EF + FG

EG = x + x + 10 = 2x + 10

EG = 2(8) + 10

EG = 16 + 10 = 26

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