Answer:
The answer y = 8 units.
Step-by-step explanation:
Given:
ABCD ~ FECG
EC =5
BE =5
∴ BC = BE + EC = 5 + 5 = 10 ......{ B-E-C}
FG = 4
To Find:
AD = y = ?
Solution:
If Two Figure are Similar then the sides are in proportion, and the corresponding angles are equal.
ABCD ~ FECG
∴ [tex]\frac{AB}{FE} =\frac{BC}{EC}= \frac{CD}{CG} =\frac{AD}{FG} \\\\\therefore \frac{BC}{EC}=\frac{AD}{FG}[/tex]
substituting the given values we get
∴ [tex]\frac{10}{5}= \frac{AD}{4} \\\\AD = 2\times 4\\AD= 8\units[/tex]
∴ AD = y = 8 units
