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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.

User Magggi
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1 Answer

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

Therefore, here we have,


(PN)/(SQ)=(PO)/(SR)

Substituting teh values, and solving for SQ we get,


\begin{gathered} (8)/(SQ)=(5)/(21) \\ 21*8=5* SQ \\ SQ=(21*8)/(5)=33.6 \end{gathered}

User Radouane ROUFID
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