Triangle ABC smilir triangle PQR if AB by PQ=1BY 3 THEN FIND ar triangle ABC by ar triangle PQR

Triangle ABC smilir triangle PQR if AB by PQ=1BY 3 THEN FIND ar triang

1.	Triangle ABC smilir triangle PQR if AB by PQ=1BY 3 THEN FIND ar triangle ABC by ar triangle PQR
Answer» Given:\xa0{tex}\\Delta ABC \\sim \\Delta PQR{/tex}Since we know that ,the ratio of area of two similar triangles is equal to the square of ratio of their corresponding sides. Thus,{tex}\\frac{\\text { ar } \\triangle \\mathrm{ABC}}{\\text { ar } \\triangle \\mathrm{PQR}}{/tex}\xa0=\xa0{tex}\\frac{\\mathrm{AB}^{2}}{\\mathrm{PQ}^{2}}{/tex}\xa0=\xa0{tex}\\left(\\frac{1}{3}\\right)^{2}{/tex}\xa0=\xa0{tex}\\frac{1}{9}{/tex}