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In the figure , O is the same of the cir...

In the figure , O is the same of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If OR = 10cm and radius of the circle = 5 cm, then
(i) What is the length of each tangnet segment ?
(iii) What si the measure of `/_MRO ` ?
(iii) Whatis the measure of `/_ MRN ` ?

Text Solution

Verified by Experts

The correct Answer is:
`/_MRO=30^(@)`
In `triangle RMO`,
`/_OMR=90^(@)" " "………"(" Tangent theorem ")`
`OM=5 cm" and "OR=10 cm " ""………"(" Given ")`
`:. OM=(1)/)(2) OR`
`:./_MRO=30^(@)`
`"…….."(" Converse of " 30^(@)-60^(@)-90^(@) " triangle theorem ")`
Similarly `/_NRO=30^(@)`.
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