UPSC CDS Math Triangles Questions

In the following figure, it is given that △ ABR ~ △ PQR. Also PQ = 3 cm, AB = 6 cm, BR = 8.2 cm and PR = 5.2 cm.In similar triangles, ratio ofcorresponding sides is the same∴

AR

PR

=

AB

PQ

=

BR

QR

⇒

AR

5.2

=

6

3

=

8.2

QR

⇒AR=5.2×2=10.4cm
And QR=

8.2

2

=4.1cm