Question

△ abc ≅ △ dbc
ab = 15, ac = 8, bd = ?

Explanation:

Step1: Recall Congruent Triangles

Congruent triangles have corresponding sides equal. So, in $\triangle ABC \cong \triangle DBC$, side $AB$ corresponds to side $BD$.

Step2: Determine BD Length

Since $AB = 15$ and $AB \cong BD$ (corresponding sides of congruent triangles), we have $BD = AB$.

Answer:

15