Question

In the adjoining 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. If OR = 10 cm and radius of the circle = 5 cm, then

(1) What is the length of each tangent segment ?

(2) What is the measure of ∠MRO ?

(3) What is the measure of ∠MRN ?

∠OMR = 90° ... [Radius perpendicular to tangent]

∴ In ∆OMR,

_____ = OR ... [Pythagoras theorem]

5 + MR = 10

MR = 100 - 25

MR = 75

MR = _____

... [_____]

In ∆OMR,

OM = _____

∴ ∠ORM = _____ ... [since opposite side is half of hypotenuse]

Similarly in ∆ONR we can show that,
∠MRN = _____

= 30º + 30º

= 60º​

Answer 1

Answer:

thanks for the points thanks for the points