Pls help no need for long explanations just a summary

Question

asked Aug 17, 2022 161k views

1 Answer

Yaroslav Yakovlev · Answer 1 · 2022-08-24T01:30:37+0000

Answer:

FG - it is midline. FG = 5.

Step-by-step explanation:

A midline in a triangle is a line segment connecting the midpoints of two sides.

A midline is half the length of the side to which it is parallel.

$(CE)/(FG) =2\\\\ (9x-26)/(7x-23) =2\\\\9x-26=2(7x-23)\\9x-26=14x-46\\14x-9x=46-26\\5x=20\\x=4$

CE = 9 · 4 - 26 = 10

FG = 10/2 = 5