Question

Solve similar triangles (advanced)

Answer 1

Answer:

x = 24

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ $\frac{AD}{AB}$ = $\frac{DE}{BC}$ = $\frac{AE}{AC}$

AD = x + 8 ; DE = 8

AB = x ; BC = 6

$\frac{x+8}{x}$ = $\frac{8}{6}$ ⇔ 8x = 6(x + 8) ⇒ x = 24

Answer 2

Answer:

x = 24

Step-by-step explanation:

 6  =   x        

 8     x + 8

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 48/2

x = 24