SOLUTION: assume triangle abc is similar to fgh with median ap and fq to both sides bc and gh respectively, ab=9 and fg=6 if ap is 4 greater than fq find both medians

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Question 1206535: assume triangle abc is similar to fgh with median ap and fq to both sides bc and gh respectively, ab=9 and fg=6 if ap is 4 greater than fq find both medians
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


ab and fg are corresponding sides, so the ratio of similarity is 9:6 = 3:2.

The lengths of the medians are linear measurements, so the ratio ap:fq = 3:2. Since ap is 4 greater than fq....

ap%2Ffq=3%2F2
3fq=2ap
3fq=2%28fq%2B4%29
3fq=2fq%2B8
fq=8
3%288%29=2ap
2ap=24
ap=12

ANSWERS: ap=12; fq=8