In the triangle below ¯¯¯¯¯¯JK∥¯¯¯¯¯¯FGJK¯∥FG¯ and points J and K are midpoints. If JK = 8, find FG.

Martin Schlott asked Jul 23, 2023

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7 votes

Martin Schlott asked Jul 23, 2023

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4 votes

Step-by-step explanation:

By the angle bisector theorem

For this problem we have:

Solving for x:

$\begin{gathered} 12x=8(x+2) \\ 12x=8x+16 \\ 12x-8x=16 \\ 4x=16 \\ x=(16)/(4)=4 \end{gathered}$

Answer:

x = 4

Charles Morin answered Jul 28, 2023

2.8k points

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