Question 26
Answer-format rule: round a non-integer answer to the nearest integer. If the calculated answer has more than five digits, give its last five digits.
$ABCD$ is a square of side 1. Point $E$ lies on $BC$, point $F$ on $CD$, and $\angle FAE=45^\circ$. The source also instructs: “Rotate the right triangle ADE counterclockwise about A to make AD lie on AB.” Determine the perimeter of triangle $EFC$.
$ABCD$ is a square of side 1. Point $E$ lies on $BC$, point $F$ on $CD$, and $\angle FAE=45^\circ$. The source also instructs: “Rotate the right triangle ADE counterclockwise about A to make AD lie on AB.” Determine the perimeter of triangle $EFC$.