Question

if $overline{be}congoverline{de}$ and $cd = 19$, what is $bc?
bc=square$

Explanation:

Step1: Identify congruent triangles

Since $\overline{BE}\cong\overline{DE}$ and $\angle BEC=\angle DEC = 90^{\circ}$ (right - angles) and $\overline{CE}=\overline{CE}$ (common side), by the Hypotenuse - Leg (HL) congruence criterion in right - triangles $\triangle BEC\cong\triangle DEC$.

Step2: Use congruent - triangle property

In congruent triangles $\triangle BEC$ and $\triangle DEC$, corresponding sides are equal. So, $BC = CD$.

Answer:

$19$