In the figure, FQ is parallel to RS". The length of PT is 3 cm; the length of PQis 5 cm; the length of RS is 15 cm. What is the length of RT?A. 12 cmB.9 cmC. 8 cmD. 10 cm

Answer:The measure of length RT is 9 cm  . Step-by-step explanation:Given figure as :The Triangle TRS and Triangle TPQ are similar trianglesI.e Δ TRS ≈ Δ TPQAnd The measure of side PT = 3 cmThe measure of side PQ = 5 cmThe measure of side RS = 15 cmLet The measure of side RT =  x cmSo, From the property of similar triangles [tex]\dfrac{\textrm measure of side TR}{\textrm measure of side TP}[/tex] = [tex]\dfrac{\textrm measure of side RQ}{\textrm measure of side PQ}[/tex]I.e [tex]\dfrac{TR}{TP}[/tex] = [tex]\dfrac{RS}{PQ}[/tex]Or, [tex]\dfrac{x}{3}[/tex] = [tex]\dfrac{15}{5}[/tex]Or, [tex]\dfrac{x}{3}[/tex] = 3∴  x = 3 × 3 I.e x = 9 cmHence The measure of length RT is 9 cm  .  Answer