Respuesta :

Answer:

5.36

Step-by-step explanation:

Given that:

<BAD = <CAE, therefore, BD = EC

Let's take x to be the length of BD = EC

BD + DE + EC = BC

BC = 20,

BD = EC = x

DE ≈ 9.28

Thus,

x + 9.28 + x = 20

x + x + 9.28 = 20

2x + 9.28 = 20

Subtract 9.28 from both sides

2x + 9.28 - 9.28 = 20 - 9.28

2x = 10.72

Divided both sides by 2 to solve for x

[tex] \frac{2x}{2} = \frac{10.72}{2} [/tex]

[tex] x = \frac{10.72}{2} [/tex]

[tex] x = 5.36 [/tex]

BD ≈ 5.36