Question

Right triangle similarity: Solve for x and y

Answer 1

Answer:

x=4$\sqrt{5}$,y=8$\sqrt{5}$

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO  $\frac{x}{20} =\frac{4}{x}$, $x^{2}$=80,x=$\sqrt{80} =4\sqrt{5}$;

In the same way:

sin∠RSV = sin∠RTS,

SO $\frac{16}{y} =\frac{y}{20}$，$y^{2}$=320,y=8$\sqrt{5}$