Answer:
Side AB is <em>10 cm</em>.
Step-by-step explanation:
The given quadrilaterals <em>ABCD</em> and <em>EFGH </em>are similar.
From the given figure, we can observe the following angles and sides are corresponding.
Ratio of corresponding sides will be equal:
AB:EF = BC: FG = CD:GH = DA:HE
We have to find the side AB.
Given the sides
EF = 5 cm
BC = 9 cm
DA = 8 cm
EH = 4 cm
So, ratio DA:EH = 8:4 = 2:1
We know that ratio of corresponding sides will be same:
AB:EF = DA:EH
So, side <em>AB</em> is 10 cm.