Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ = 12.5 cm, PA = 5 cm, BR= 6 cm and PB = 4 cm. Is AB || QR? Give reasons for your answer.

A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ = 12.5 cm, PA = 5 cm, BR= 6 cm and PB = 4 cm. Is AB || QR?

Give reasons for your answer.

 

Answers (1)

Answer : [True]

Given: PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm

QA = QP – PA = 12.5 – 5 = 7.5 cm

\frac{PA}{AQ}=\frac{5}{7.5}=\frac{50}{75}=\frac{2}{3}

\frac{PB}{PR}=\frac{4}{6}=\frac{2}{3}

Here

\frac{PA}{AQ}=\frac{PB}{PR}

According to Converse of basic proportionality theorem if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

\therefore AB\parallel QR

Posted by

infoexpert23

View full answer

Similar Questions

Latest Question