Question

help me with this one

Answer 1

(3√3)² = h²+(3√3/2)²
27 = h² + 27/4
h² = 27-27/4
h² = 27(1-1/4)
h² = 27×3/4
h² = 81/4
h = 9/4 cm
h = 2.25cm

Answer 2

by pythagoras theorem
let the altitude be AD 
so, 
     AB^2=BD^2+AD^2
    27=27/2+AD^2
     AD^2=27/2
     AD=root of 27/2