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.

Question

asked Nov 9, 2023 934 views

1 Answer

Radouane ROUFID · Answer 1 · 2023-11-15T16:18:27+0000

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

Therefore, here we have,

Substituting teh values, and solving for SQ we get,

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