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QUESTION IMAGE

$\\triangle abc\\cong\\triangle edc, ab = 8, bc = 5, dc=?$

Question

$\triangle abc\cong\triangle edc, ab = 8, bc = 5, dc=?$

Explanation:

Step1: Recall property of congruent triangles

If $\triangle ABC\cong\triangle EDC$, then corresponding sides are equal.

Step2: Identify corresponding sides

$BC$ and $DC$ are corresponding sides.

Step3: Use given side - length

Since $BC = 5$ and $BC=DC$ (corresponding sides of congruent triangles), then $DC = 5$.

Answer:

5