If ΔABC~ΔPQR in which AB=6cm . . .

Question : If ΔABC~ΔPQR in which AB=6cm, BC=4cm, AC=8cm and PR=6 cm, then find the length of (PQ+QR).

Doubt by Shaurya and Prateek

Solution :

AB=6cm (Given) BC=4cm (Given) AC=8cm (Given) PR=6 cm (Given)

ΔABC~ΔPQR (Given) AB/PQ=BC/QR=AC/PR (Corresponding sides of similar triangle are proportional) 6/PQ=4/QR=8/6 6/PQ=4/QR=4/3 Now, 6/PQ=4/3 4PQ=18 PQ=18/4 PQ=4.5 cm

Also, 4/QR=4/3 QR=3 cm PQ+QR =4.5+3 =7.5 cm

∴PQ+QR=7.5 cm