Question
In $\triangle A B C, \overline{B X}, \overline{C Z}$, and $\overline{A Y}$ are medians. If $A X=3 x-9$, $X C=2 x-4$, and $Z B=2 x+1$, what is $A Z$ ?
Step 1
Since $AX$ and $XC$ are part of the same median, we can use the given information to find the length of the entire median $AC$. We have $AC = AX + XC = (3x-9) + (2x-4) = 5x-13$. Now, we know that $AZ$ is 2/3 of the length of median $AC$. Show more…
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