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Triangle NOP is similar to triangle QRS. Find the measure of side SQ. Round youranswer to the nearest tenth if necessary. Figures are not drawn to scale.

Respuesta :

If two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. ,

Therefore, here we have,

[tex]\frac{PN}{SQ}=\frac{PO}{SR}[/tex]

Substituting teh values, and solving for SQ we get,

[tex]\begin{gathered} \frac{8}{SQ}=\frac{5}{21} \\ 21\times8=5\times SQ \\ SQ=\frac{21\times8}{5}=33.6 \end{gathered}[/tex]

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