Triangle A has sides of lengths 5 ,3 , and 8 . Triangle B is similar to triangle A and has a side of length 1 . What are the possible lengths of the other two sides of triangle B?

triangle 1: $\left(1 , \frac{3}{5} , \frac{8}{5}\right)$
triangle 2: $\left(\frac{5}{3} , 1 , \frac{8}{3}\right)$
triangle 3: $\left(\frac{5}{8} , \frac{3}{8} , 1\right)$

Explanation:

Simply use ratio and proportion in finding the other sides of triangle B.

For example: Triangle 1:

let x be the second side of triangle B
let y be the third side of triangle B

$\frac{x}{3} = \frac{1}{5}$

$x = \frac{3}{5}$

compute for the third side y:

$\frac{y}{8} = \frac{1}{5}$

$y = \frac{8}{5}$

Do the same for triangle 2: and triangle 3:

God bless...I hope the explanation is useful.