Question

Can someone help me with this question? Will mark Brainliest.

Answer 1

Answer:

DE is 36/5

Step-by-step explanation:

The ratio between ΔAED and ΔBEC can be found by

$\frac{AD}{BC}$ =$\frac{8}{10}$

$\frac{8}{10}$ can be reduced as $\frac{4}{5}$

$\frac{4}{5}$ can be written in the ratio form as 4:5

thus ΔAED : ΔBEC

           4     :     5  

⇒ 5×ΔAED=4×ΔBEC.

So to find DE

5×DE=4×CE, CE=9

DE=$\frac{4(9)}{5}$

DE =$\frac{36}{5}$