Similar Triangles :
Similar triangles are two or more triangles with the same shape, equal pair of corresponding angles and the same ratio of the corresponding sides.
From the properties of similar triangle :
The ratio of corresponding sides must be equal
In the given triangle ADC and CDB
Corresponding sides are : AD & CD, DC & DB, CA & BC
Ratio of corresponding sides are :
[tex]\frac{AD}{CD}=\frac{DC}{DB}=\frac{CA}{BC}[/tex]
Substitute the value of side of triangle :
AD = 5.4
CD = 7.2
DC = 7.2
DB = 9.6
CA = 9
BC = 12
[tex]\begin{gathered} \frac{AD}{CD}=\frac{DC}{DB}=\frac{CA}{BC} \\ \frac{5.4}{7.2}=\frac{7.2}{9.6}=\frac{9}{12} \\ 0.75\text{ = 0.75 = 0.75} \end{gathered}[/tex]
Thus, we get the ratio of corrsponding sides are 0.75
Triangle ADC and triangle CDB are similar
Answer : 0 .75
