Question

If ∆ABC~∆PQR, area of ∆ABC= 81 square cm, area∆ PQR=144 square cm, QR=6cm then length of BC is​

Answer 1

Answer:

ar(△PQR)ar(△ABC)=144100

If triangles are similar then ratio of their areas is equal to ratio of square of their corresponding sides

PQ2AB2=144100PQAB=1210

AM and PN are medians

Therefore, PNAM=PQAB

⇒PN4=1210⇒PM=4.8cm