Question

pls answer this question pls ​

Answer 1

Given - (1) 2 tangent RQ &RP from point R to center O.

(2) angle PRQ=120°

To prove - OR=PR+RQ

Construction - Join OQ &OP

OQ=OP.......(radius of a circle)

Proof - In ∆RPO&∆RQO

OR=RO.........(common side)

OQ=OP..........(proved above)

anglePOR=angle ORQ...(Alt. angles)

By SAS test, ∆RPO=∆RQO

OR=PR.....(cpct)....(1)

OR=RQ.....(cpct)....(2)

Add (1)&(2)

OR=PR+RQ .........hence proved.

hope it help u......✌️❣️