Question

What is BC ?



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units?

Answer 1

The length of the BC is 25 units .

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

`x = (18)/(2)`

x = 9

Put in the

BC = 2x + 7

= 2 × 9 + 7

= 18 + 7

= 25 units

Therefore the length of the BC is 25 units .