Question

If triangle abc is similar to triangle pqr.also area triangle abc is equal to 4 area triangle pqr.if bc is 12 cm find qr

Answer 1

QR =6 cm

since area of abc=area of pqr*4
          area of ABC/area of pqr=4
           (bc/qr)^2=4
            12/qr=2
              qr=6

Answer 2

Answer:

qr=6cm

Step-by-step explanation:

It is given that triangle abc is similar to triangle pqr and also area triangle abc is equal to 4 area triangle pqr.

Thus, $\frac{ar(abc)}{ar(pqr)}=4$

⇒$\frac{(bc)^2}{(qr)^2}=4$

⇒$\frac{(12)^2}{(qr)^2}=4$

⇒$144=4(qr)^2$

⇒$36=(qr)^2$

⇒$qr=6 cm$

Thus, the value of qr will be 6 cm.