Question

CB = 24 cm. Find CD and AD.

Answer 1

As according to given diagram:

AC= 7cm and AB=25 cm and CB= 24 cm.

SO according to triangle ABC:

`\begin{gathered} \sin (\angle CAB)=(CB)/(AB) \\ \sin (\angle CAB)=(24)/(25) \\ \sin (\angle CAB)=0.96 \\ (\angle CAB)=\sin ^(-1)(0.96) \\ (\angle CAB)=73.7 \end{gathered}`

Now given that Angle CAD and BAD are equal so:

`\angle CAD=\angle BAD=(\angle CAB)/(2)=(73.7)/(2)=36.85`

Now in triangle ACD:

`\begin{gathered} \tan (\angle CAD)=(CD)/(AC) \\ 7*\tan (36.85)=CD \\ CD=5.246 \end{gathered}`

And :