Question

in the given figure if PR = 12 cm, OOP = 5 cm and OQ - can find RO​

Answer 1

Given : PR = 12 cm, OOP = 5 cm and OQ  = 4 cm

To Find :  RO​

Solution:

Case 1 :   OP  = OQ + OOP

=> OP = 4 + 5

=> OP = 9 cm

RO² = PR²  + OP²

=> RO ² = 12²  + 9²

=> RO ² = 15²  

=> RO  = 15 cm

RQ² = RO² - OQ²

=> RQ² = 15² - 4²

=> RQ = √209 cm

Case 2 :

OP  = OOP

=> OP = 5 cm

RO² = PR²  + OP²

=> RO ² = 12²  + 5²

=> RO ² = 15²  

=> RO  = 13  cm

RQ² = RO² - OQ²

=> RQ² = 13² - 4²

=> RQ = √153 cm

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Answer 2

Answer:

Given : PR = 12 cm, OOP = 5 cm and OQ  = 4 cm

To Find :  RO

Solution:

Case 1 :   OP  = OQ + OOP

=> OP = 4 + 5

=> OP = 9 cm

RO² = PR²  + OP²

=> RO ² = 12²  + 9²

=> RO ² = 15²  

=> RO  = 15 cm

RQ² = RO² - OQ²

=> RQ² = 15² - 4²

=> RQ = √209 cm

Case 2 :

OP  = OOP

=> OP = 5 cm

RO² = PR²  + OP²

=> RO ² = 12²  + 5²

=> RO ² = 15²  

=> RO  = 13  cm

RQ² = RO² - OQ²

=> RQ² = 13² - 4²

=> RQ = √153 cm