Question

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.

Answer 1

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}`