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right triangle similarity: Solve for x and y

Right Triangle Similarity Solve For X And Y class=

Sagot :

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Answer:

x=4[tex]\sqrt{5}[/tex],y=8[tex]\sqrt{5}[/tex]

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO  [tex]\frac{x}{20} =\frac{4}{x}[/tex], [tex]x^{2}[/tex]=80,x=[tex]\sqrt{80} =4\sqrt{5}[/tex];

In the same way:

sin∠RSV = sin∠RTS,

SO [tex]\frac{16}{y} =\frac{y}{20}[/tex]，[tex]y^{2}[/tex]=320,y=8[tex]\sqrt{5}[/tex]

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