Question

Two circles centered at points A and B, respectively, intersect at points E and F as shown. These circles intersect segment AB at points C and D. If AC=1 and CD = DB = 2, determine EF.

• A. 2.4
• B. 4.8
• C.
  
• D.
  

Answer 1

The correct option is B

4.8

In triangle AFB, $\frac{1}{2}\times AB\times FP=\frac{1}{2}\times AF\times FB$
$\Rightarrow FP=\frac{12}{5}$
Hence, EF= $\frac{24}{5}$ = 4.8.