Which of the following relations hold true ? Options: A . &nbsp r = Δ s , r = 2 R s i n A 2 s i n B 2 s i n C 2 B . &nbsp r = Δ s , r = R s i n A 2 s i n B 2 s i n C 2 C . &nbsp r = Δ s , r = 2 R s i n A 3 s i n B 3 s i n C 3 D . &nbsp r = Δ s , r = 2 R s i n A 3 s i n B 2 s i n C 2

Answer: Option A : A Relation between in radius, Area of triangle and semiperimeter can be given by r = Δ s and relation between inradius and circumradius can be given by r = 2 R s i n A 2 s i n B 2 s i n C 2

Which of the following relations hold true ?

Discussion Forum : Solution Of Triangles

Question -

Which of the following relations hold true ?

Options:

A .

r = \frac{Δ}{s}, r = 2 R s i n \frac{A}{2} s i n \frac{B}{2} s i n \frac{C}{2}

B .

r = \frac{Δ}{s}, r = R s i n \frac{A}{2} s i n \frac{B}{2} s i n \frac{C}{2}

C .

r = \frac{Δ}{s}, r = 2 R s i n \frac{A}{3} s i n \frac{B}{3} s i n \frac{C}{3}

D .

r = \frac{Δ}{s}, r = 2 R s i n \frac{A}{3} s i n \frac{B}{2} s i n \frac{C}{2}

Answer: Option A
:
A
Relation between in radius, Area of triangle and semiperimeter can be given by

r = \frac{Δ}{s}

and relation between inradius and circumradius can be given by

r = 2 R s i n \frac{A}{2} s i n \frac{B}{2} s i n \frac{C}{2}

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Discussion Forum : Solution Of Triangles

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