Problem 25

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Problem 25: (2015 AMC 10b, 22)

In the figure shown below, $ABCDE$ is a regular pentagon and $AG=1$. What is $FG+JH+CD$?

$\textbf{(A) } 3 \qquad$ $\textbf{(B) } 12-4\sqrt5 \qquad$ $\textbf{(C) } \dfrac{5+2\sqrt5}{3} \qquad$ $\textbf{(D) } 1+\sqrt5 \qquad$ $\textbf{(E) } \dfrac{11+11\sqrt5}{10}$

Solution

Exercise 25: Solution

In the figure shown, $ABCDE$ is a regular pentagon and $AG=2$. What is $AI^2$?

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