Question

the following figure angle abc is equal to 90 degree and BD perpendicular to AC if ad = 8 cm CD = 2 cm and then find the length of BD​

Answer 1

Answer:

Lengrh of BD is 4 cm

Step-by-step explanation:

In ΔADB and ΔBDC

∠ABD=∠BCD

∠D=∠D

∠BAD=∠CBD

ΔADB and ΔBDC are Equiangular

Hence, By AAA property,

ΔADB and ΔBDC are similar

⇒ Their corresponding sides proportional

$\frac{AD}{BD}=\frac{BD}{CD}=\frac{AB}{BC}\\\\\frac{AD}{BD}=\frac{BD}{CD}\\\\BD^2=AD.CD\\\\BD^2=(8).(2)\\\\BD^2=16\\\\BD= 4 \:cm$