Triangle DEF and triangle GHI are similar. In triangle, DEF, DE=3, EF=4, FD=5. In triangle GHI, GH=30, HI=40, IG=50. What is the scale factor?

Question

Triangle DEF and triangle GHI are similar. In triangle, DEF,  DE=3, EF=4, FD=5.  In triangle GHI, GH=30, HI=40, IG=50. What is the scale factor?

mathhelper · Answer

Well, aren't each of the corresponding sides of the larger triangle 10 times as long as those of the smaller triangle ?? so ..... btw, did you notice that 3-4-5 forms a right-angled triangle?