Question

Solve the following question step by step

Answer 1

Answer:

4.62cm(app.)

Step-by-step explanation:

We know that,

Ar(ABC)=1/2*b*h

            =1/2*12*5

            =30cm²

Now,

InΔBAC&ΔBDA,

∠ABC=∠DBA                (Common)

∠BAC=∠BDA                (90°)

ΔBAC~ΔBDA                   (By AA similarity)

So,

BA/BD=AC/AD=BC/AB                  (By CPST)

AC/AD=BC/AB

Now,

BC=√AB²+AC²

     =√25+144

     =√169

     =13cm

AC/AD=BC/AB

12/AD=13/5

AD=12*5/13

     =60/13

     =4.615

      =4.62cm(app.)