Answer: x = 2.25
y = 1.125
Step-by-step explanation:
Looking at the diagram attached, two similar triangles, ABC and EDC are formed. Therefore, AB/ED = BC/DC= AC/EC.
AB = 6
ED = x
AC = 3
EC = y
BC = 4
DC = 1.5
Therefore,
3/y = 4/1.5
Cross multiplying,
3×1.5 = 4 × y
4.5 = 4y
y = 4.5/4 = 1.125
6/x = 4/1.5
Cross multiplying
6×1.5 = x×4
4x = 9
x = 9/4 = 2.25
