Answer:
Step-by-step explanation:
area of rhombus = base x height or diagonal 1 x diagonal 2 / 2
one diagonal = 4.5dm = 45cm
the other diagonal = 540 / 45 * 2 = 24cm
the diagonals in a rhombus are perpendicular 2 each other
so half diagonals and one side of the rhombus form a right-angled triangle
side^2 = half-diagonal 1^2 + half-diagonal 2^2
= (45/2)^2 + (24/2)^2
= 650.25
side = sqrt (650.25) = 25.5cm
540 = height x side
height = 540 / 25.5 = 21.1765cm
distance between the point of intersection of the diagonals and the side of the rhombus = height / 2 = 10.59cm
