Question

∆ABC ~ ∆PQR and their areas are in the ratio 25 : 9. If BC = 5cm, the length
of QR is
A. 8 cm
B. 3 cm
C. 3.5 cm
D. 9 cm​

Answer 1

Answer:

3 cm

Step-by-step explanation:

If areas are in ratio 25:9 then sides must be in ratio of $\sqrt{25} : \sqrt{9}$ . Hence the sides of the triangle are in ratio 5:3 now BC in ABC is corresponding to QR in PQR.

hence $\frac{BC}{QR} = \frac{5}{3}$

as BC = 5cm

then QR must be 3 cm

Answer 2

Answer:

$3cm$

Step-by-step explanation:

$if areas are in ratio 25:9 then sides must be in ratio of \sqrt{25} : \sqrt{9}25:9 . Hence the sides of the triangle are in ratio 5:3 now BC in ABC is corresponding to QR in PQR.</p><p></p><p>hence \frac{BC}{QR} = \frac{5}{3}QRBC=35</p><p></p><p>as BC = 5cm</p><p></p><p>then QR must be 3 cm</p><p></p><p>$