Question

In shown figure, find x.
(1) 9
(3) 24
(2) 18
(4) 27

Please give explanation​

Answer 1

Answer:

(4) 27

Step-by-step explanation:

Let DA be m .

In Triangle ABC according to Thales's theorem,

$\frac{be}{ec} = \frac{bd}{da} \\ = > \frac{16}{8} = \frac{18}{m} \\ = > 16m = 18 \times 8 \\ = > m = \frac{18 \times 8}{16} \\ m = 9$

Therefore, x = AB = BD + DA = 18 + 9 = 27