In the figure below, AABC is similar to A EFG. What is the length of EG? Enter only the number.
A
5
N
3
12
16
F
G
B
The solution is

In the figure below AABC is similar to A EFG What is the length of EG Enter only the number A 5 N 3 12 16 F G B The solution is class=

Respuesta :

Answer:

EG = 20

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{EG}{AC}[/tex] = [tex]\frac{EF}{AB}[/tex] , substitute values

[tex]\frac{EG}{5}[/tex] = [tex]\frac{12}{3}[/tex] = 4 ( multiply both sides by 5 )

EG = 5 × 4 = 20