Question

In the given figure ZABC=90', BD I AC.IfAB=6cm, BC=8cm, CA=10cm then
the length of AD is :
A. 6.3 cm
10cm
B. 3.6 cm
6cm
C. 3 cm
B
D. 4 cm
8cm
​

Answer 1

Answer:

c . 3cm

Step-by-step explanation:

→ Given:

→ ∠BDC=90°

→  

∠ABC=90°

→ Let ∠BCD=x

→ Using triangle sum property in △BDC, ∠DBC=90−x

→ Now considering △BDC and △ADB

→ ∠BDC=∠BDA [∵∠BDC=∠BDA=90

→  

∠DBC=∠DAB [∵∠DBC=∠DAB=(90−x)

→ So by AAS

→ △BDC∼△ADB

→ Hence

→ CD  = BD

→ BD = BD

→ AD = CD

→ 8 = 8

→ CD = 16 CM

→ ∠BDC=∠BDA [∵∠BDC=∠BDA=90]