Question

Pls helpis triangle ADC similar to CDB? Explain or show your reasoning.

Answer 1

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 :

`(AD)/(CD)=(DC)/(DB)=(CA)/(BC)`

Substitute the value of side of triangle :

AD = 5.4

CD = 7.2

DC = 7.2

DB = 9.6

CA = 9

BC = 12

`\begin{gathered} (AD)/(CD)=(DC)/(DB)=(CA)/(BC) \\ (5.4)/(7.2)=(7.2)/(9.6)=(9)/(12) \\ 0.75\text{ = 0.75 = 0.75} \end{gathered}`

Thus, we get the ratio of corrsponding sides are 0.75

Triangle ADC and triangle CDB are similar

Answer : 0 .75