Question

question
in △bcd, ∠c ≅ ∠b, db = 10 and bc = 18. find cd.

Explanation:

Step1: Use the property of isosceles triangle

In a triangle, if two angles are congruent (\(\angle C\cong\angle B\)), then the sides opposite those angles are congruent.

Step2: Identify the sides

The side opposite \(\angle B\) is \(CD\), and the side opposite \(\angle C\) is \(DB\).
Since \(\angle C\cong\angle B\), we have \(CD = DB\).

Answer:

\(CD = 10\)