Question

4. IF AABD ACBE, find the value of x. 27 cm 12 cm SE E 23.4 cm

Answer 1

Answer:

$x = 10.4$

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:

$\frac{BD}{BE} = \frac{AD}{CE}$

BD = 12 cm

BE = x

AD = 27 cm

CE = 23.4 cm

Plug in the values

$\frac{12}{x} = \frac{27}{23.4}$

Cross multiply

$x \times 27 = 23.4 \times 12$

$27x = 280.8$

Divide both sides by 27

$x = 10.4$