BC = 18
AB = AC, hence
8x - 4 = 5x + 11 ( subtract 5x from both sides )
3x - 4 = 11 ( add 4 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
BC = 4x - 2 = (4 × 5 ) - 2 = 20 - 2 = 18
If I'm interpreting this right, it's -36 since a half times ten is 5... so it comes down to 5-41 which equals -36.
Similar triangles are triangles with equal corresponding angles and proportionate sides. Thus the pair of similar triangles will be:
Δ ADE≈ΔACF≈Δ ABG
this implies that the corresponding angles are equal. Thus:
∠B=∠C=∠D
∠G=∠F=∠E
and the ratio of corresponding sides are equal