Question

1. In the figure, O is the centre of
the circle. From point R, seg
RM and seg RN are tangent
segments touching the circle at
M and N. Ir OR-10 cm and
radius of the circle - 5 cm, then
(1) What is the length of each tangent segment?
(i) What is the measure of ZMRO?
(iii) What is the measure of MRN?​

Answer 1

Step-by-step explanation:

It is given that RM and RN are the two tangent segments of a circle with centre O. Let OR be the segment and from ΔMOR and ΔNOR,

MR=NR( Tangent segments of circle are always equal)

OM=ON(Radius of the circle)

OR=OR( Common)

Therefore by SSS rule of Congruency, ΔMOR ≅ΔNOR

⇒ By CPCT,

∠MRO=∠NRO

Thus, the segment OR bisects the angle MRN

Hence proved.

Answer 2

HOPE IT HELPS YOU!!!