Answer:
BC = 34
Step-by-step explanation:
Given that ∠B = ∠C then the triangle is isosceles.
Thus AB and AC are congruent, that is
4x - 8 = 2x + 12 ( subtract 2x from both sides )
2x - 8 = 12 ( add 8 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Hence
BC = 3x + 4 = (3 × 10) + 4 = 30 + 4 = 34
