If abc is congruent to dbc the bc bisects the angle acd

True.

If Δ ABC ≅ Δ DBC  then BC bisects the angle ∠ ACD.

Step-by-step explanation:

Δ ABC ≅ Δ DBC

∠ ACB ≅ ∠ DCB  {corresponding angles of congruent triangles}or(c.p.c.t)

i.e BC is the bisector of ∠ ACD

Hence, TRUE

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6