Question

Triangle PQR is circumscribing a circle if PA=5 cm AQ= 4 cm and PR = 12 cm then find the length of QR​

Answer 1

Given : Triangle PQR is circumscribing a circle  

PA=5 cm AQ= 4 cm and PR = 12 cm  

To find  : the length of QR​

Solution:

Triangle PQR is circumscribing circle

Let say circle touches  PR at B and QR at C

Circle touches PQ at A is already given "

PA = PB  ( equal tangent)

=> PB = 5 cm

PR = PB + RB

=> 12 = 5 + RB

=> RB = 7  cm

RB = RC  ( equal Tangent)

=> RC = 7 cm

QA = QC  ( equal tangent)

=> QC = 4 cm

QR = QC + RC

= 4 + 7

= 11 cm

length of QR​  is 11 cm

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