Question

O is the centre of circle , from point R seg RM and seg RN tangent segments touching the circle at M and N. If OR=10cm nad radius of the circle is 5cm then what is the length of the each tangent segments​

Answer 1

Step-by-step explanation:

∠OMR=∠ONR=90°

OM=5 cm OR=10cm

OR×OR=OM×OM+MR×MR

MR=

√OR×OR−OM×OM

=√10×10−5×5

=5√3 cm

(2) in right △OMR

tan∠MRO= OM/MR

tan∠MRO=5/5√3

=1/√3

(3) ∠MRO=30°

∠MRN=∠MRO+∠NRO=30°+30°

=60

∠MRN=60°