Answer:
Area = 4 cm^2.
Step-by-step explanation:
BD is the height of triangle ABC.
By Pythagoras:
BD = sqrt( (2sqrt5)^2 - (3sqrt2)^2)
= sqrt(20 - 18)
= sqrt2
Area of triangle ABC
= sqrt2 * 1/2 base
= sqrt2 * 1/2( 3sqrt2 + sqrt2)
= sqrt2 * 1/2 * 4 sqrt2
= sqrt2* 2 sqrt2
= 4.
