Answer:
[tex] x = 10.4 [/tex]
Step-by-step explanation:
Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:
[tex] \frac{BD}{BE} = \frac{AD}{CE} [/tex]
BD = 12 cm
BE = x
AD = 27 cm
CE = 23.4 cm
Plug in the values
[tex] \frac{12}{x} = \frac{27}{23.4} [/tex]
Cross multiply
[tex] x \times 27 = 23.4 \times 12 [/tex]
[tex] 27x = 280.8 [/tex]
Divide both sides by 27
[tex] x = 10.4 [/tex]
