Respuesta :

Answer:

The length of the BC is 25 units .

Step-by-step explanation:

As shown in the diagram

In ΔABC  

∠B = ∠C (As given)

(If the angles are equal than their opposite sides are also equal .)

Thus

AB = BC

As given

AB = 4x + 4

AC = 6x - 14

Thus

4x + 4 = 6x - 14

6x - 4x = 14 + 4

2x = 18

[tex]x = \frac{18}{2}[/tex]

x = 9

Put in the

BC = 2x + 7

     = 2 × 9 + 7

     = 18 + 7

     = 25 units

Therefore the length of the BC is 25 units .