Question

given (\triangle adccong\triangle dab), what is the length of side (bd)?

9.5
12.1
9.5
21.6

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle ADC\cong\triangle DAB\), corresponding sides are equal.

Step2: Identify the corresponding side

In congruent triangles \(\triangle ADC\) and \(\triangle DAB\), side \(AD\) in \(\triangle ADC\) corresponds to side \(DA\) (common side), side \(DC\) corresponds to side \(AB\), and side \(AC\) corresponds to side \(DB\). But wait, another way - since \(\triangle ADC\cong\triangle DAB\), by the definition of congruent triangles, the sides that match in the congruence statement. The side \(AC = 9.5\) in \(\triangle ADC\) and in \(\triangle DAB\), the side \(DB\) is the corresponding side.

Answer:

\(9.5\)