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,

$\frac{PN}{SQ}=\frac{PO}{SR}$

Substituting teh values, and solving for SQ we get,

$\begin{gathered} \frac{8}{SQ}=\frac{5}{21} \\ 21\times8=5\times SQ \\ SQ=\frac{21\times8}{5}=33.6 \end{gathered}$