Answer:
x = 7.8
Step-by-step explanation:
If AE is parallel to BD, then you can use the theorem called ratio of sides of parallel line.
AC/AB = EC/ED
x+11/x = 12/5
x=7.8
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the unknown sides will be equal to 7.857 units.
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
For the two similar triangles, ΔAEC and ΔBDC, the ratio of the sides will be,
11/7 = (11+x)/(5+7)
11/7 = (11+x)/12
(11×12)/7 = 11+x
18.857 - 11 = x
x = 7.857
Hence, the length of the unknown sides will be equal to 7.857 units.
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