Question

The value of r? Do not round your answer.

Answer 1

Answer:

r = 31.2

Step-by-step explanation:

Δ ACE and Δ BCD are similar, thus the ratios of corresponding sides are equal, that is

$\frac{AE}{BD}$ = $\frac{CE}{CD}$, substitute values

$\frac{r}{19.5}$ = $\frac{64}{40}$ ( cross- multiply )

40r = 1248 ( divide both sides by 40 )

r = 31.2