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Bas_tet [7]
2 years ago
8

Right triangle similarity: Solve for x and y

Mathematics
1 answer:
OleMash [197]2 years ago
7 0

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}

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