Answer: The measure of FG = 20 inches.
Step-by-step explanation:
Since we have given that
ABCD~ EFGH
where, AD = 45 in.
EH = 60 in.
BC = 15 in.
We need to find the measure of FG.
Since the quadrilateral ABCD is similar to EFGH, then the ratio of their corresponding sides will be equal.
So, it becomes,
[tex]\frac{AD}{EH}=\frac{BC}{FG}\\\\\frac{45}{60}=\frac{15}{FG}\\\\\frac{3}{4}=\frac{15}{FG}\\\\FG=\frac{15\times 4}{3}=5\times 4=20\ in.[/tex]
Hence, the measure of FG = 20 inches.
