Step-by-step explanation:
ΔADB is a right angled triangle. So, use Pythagorean theorem.
Altitude² = hypotenuse² - base²
        = (2√5)² - (3√2)²
       = 2²* (√5)² - 3²*(√2)² = 4*5 - 9*2 = 20 - 18 = 2
Altitude = √2
Base of ΔABC = 3√2 + √2 = 4√2 cm
Area =
    Â