Question

How do I solve this ASAP??

Answer 1

so from the picture above, we can see the medians AD and BE meeting in the triangle at the centroid. Tis noteworthy that a centroid cuts all medians in a 2:1 ratio. What does that mean? well, it means that A F : F D are on a 2:1 ratio, so

`\cfrac{A F}{FD}=\cfrac{2}{1}\implies \cfrac{2x+10}{2x-3}=\cfrac{2}{1}\implies 2x+10=4x-6\implies 10=2x-6 \\\\\\ 16=2x\implies \cfrac{16}{2}=x\implies 8=x \\\\[-0.35em] ~\dotfill\\\\ \underset{ A F }{\stackrel{2(8)+10}{\text{\LARGE 26}}}\hspace{5em}\underset{ FD }{\stackrel{2(8)-3}{\text{\LARGE 13}}}\hspace{5em}\underset{AD }{\stackrel{ A F~~ + ~~FD}{\text{\LARGE 39}}}`