Answer:
Perimeter = 40.1 cm
Step-by-step explanation:
Finding CD for ΔCBD using Pythagorean theorem
c² = a² + b²
c² = 4.1² + 8.4²
c² = 16.81 + 70.56
c² = 87.37
Taking sqrt on both sides
CD = 9.35 cm
Now Finding CA of ΔCBA by Pythagorean theorem
c² = a² + b²
c² = 12² + 8.4²
c² = 144 + 70.56
c² = 214.56 cm
Taking sqrt on both sides
CA = 14.65 cm
Now Perimeter = Sum of all sides
= 14.65 + 9.35 + 12 + 4.1
= 40.1 cm
