Answer:
Perimeter is 75.7128129211 units
Step-by-step explanation:
Given ΔАВС, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 30, AD = 8 cm
we have to find the perimeter of ΔABC
In triangle ADC,

⇒ 
and also, 
⇒ 
Now, in triangle BDC,
∠BDC + ∠ADC = 180°
∠BDC = 180°- 90° = 90°
and also ∠DCB=∠ACB - ∠ACD = 90° - 30° = 60°

DB=
⇒ 
and also 
⇒ 
Hence, Perimeter = AC+AD+DB+BC
= 16+8+24+
= 75.7128129211 units