Question

DACBADWhat is the length of AB?Round to one decimal place,

Answer 1

AB = 6.3

Step-by-step explanation

The similar angle shown for the two triangles indicates that both triangles are similar to each other.

Triangle ACD and Triangle ADB are simiar according to the Side-Angle-Side rule of congruence. Hence, we can see that

CD is similar to DB

AC is similar AB

We can write that

`(CD)/(AC)=(DB)/(AB)`

CD = 2.5

AC = 5.8

DB = 2.7

AB = ?

`\begin{gathered} (2.5)/(5.8)=(2.7)/(AB) \\ \text{Cross multiply} \\ 2.5* AB=2.7*5.8 \\ \text{Divide both sides by 2.5} \\ (2.5* AB)/(2.5)=(2.7*5.8)/(2.5) \\ AB=6.264 \end{gathered}`

AB = 6.264 = 6.3 to one decimal place.

Hope this Helps!!!