Respuesta :

Answer:

4:5

Step-by-step explanation:

because I already answer it when I am in grade6 and my answer is 4:5 and it's correct but I think it helps

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.

  • => 18:22.5

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.

  • 4:5

Hence, the ratio from ΔBDF to ΔCEG is 4:5