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?
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?
To find the scale factor between two similar triangles, we need to compare the corresponding sides.
In triangle DEF, DE = 3, EF = 4, and FD = 5.
In triangle GHI, GH = 30, HI = 40, and IG = 50.
To find the scale factor, we can compare the lengths of the corresponding sides. Let's start with the ratio of the lengths of DE and GH:
DE / GH = 3 / 30 = 1 / 10
Similarly, we can find the ratios of the lengths of EF and HI, and FD and IG:
EF / HI = 4 / 40 = 1 / 10
FD / IG = 5 / 50 = 1 / 10
As you can see, all three ratios are the same: 1 / 10.
Therefore, the scale factor between triangle DEF and triangle GHI is 1 / 10.