turkey-yks 2014 Q33

turkey-yks · Other · ygs Circles Area and Geometric Measurement Involving Circles
The following information is known about points A, B, C, D, and E in the plane.
$$\begin{aligned} & { [ A B ] \perp [ B C ] } \\ & { [ A B ] \cap [ C D ] = E } \\ & | A E | = | B C | = 4 \text { units } \\ & | A B | = | C D | = 7 \text { units } \end{aligned}$$
Given this, what is the length |DE| in units?
A) $\sqrt { 3 }$
B) $\sqrt { 5 }$
C) $\sqrt { 7 }$
D) 2
E) 3
The following information is known about points A, B, C, D, and E in the plane.

$$\begin{aligned}
& { [ A B ] \perp [ B C ] } \\
& { [ A B ] \cap [ C D ] = E } \\
& | A E | = | B C | = 4 \text { units } \\
& | A B | = | C D | = 7 \text { units }
\end{aligned}$$

Given this, what is the length |DE| in units?\\
A) $\sqrt { 3 }$\\
B) $\sqrt { 5 }$\\
C) $\sqrt { 7 }$\\
D) 2\\
E) 3