Answer:
- The ratio from ΔBDF to ΔCEG is 4:5
Solution:
We know that:
- ΔBDF ≅ ΔCEG
- BD = 8 units
- DF = 4 units
- FB = 6 units
- CE = 10 units
- EG = 5 units
- GC = 7.5 units
Let's find the perimeter of both the triangles.
- Perimeter of smaller triangle = 8 + 6 + 4 = 18 units
- Perimeter of larger triangle = 10 + 5 + 7.5 = 22.5 units
Now, let's put them together into ratio form from ΔBDF to ΔCEG.
Let's simplify the ratio.
- => 180:225
- => 45 x 4:45 x 5
Cancel out the 45 from both sides as a:b = a/b.
Hence, the ratio from ΔBDF to ΔCEG is 4:5