Question

△ABC similar △PQR. Perimeter of △ABC is 60 cm and the perimeter of △ PQR is 36cm. If PQ = 9 CM then AB =______ cm​

Answer 1

Answer:

AB=15cm..............

Answer 2

ΔABC similar ΔPQR

PERIMETER OF ΔABC = 60 CM

PERIMETER OF ΔPQR = 36 CM

                                 PQ = 9 CM

      TO FIND; AB

∵ ΔABC similar ΔPQR

$\frac{AB}{PQ} = \frac{BC}{QR} = \frac{CA}{RP}$

    $\frac{AB}{PQ} = \frac{PERIMETER OF ΔABC}{PERIMETER OF ΔPQR}$

        $\frac{AB}{9} = \frac{60}{36}$

           $\frac{AB}{9} = \frac{5}{3}$

           $\frac{AB}{3} = \frac{5}{1}$

                                ∴ AB = 15 CM