Which of the following relations hold true ? Options: A . &nbspr=Δs,r=2RsinA2sinB2sinC2 B . &nbspr=Δs,r=RsinA2sinB2sinC2 C . &nbspr=Δs,r=2RsinA3sinB3sinC3 D . &nbspr=Δs,r=2RsinA3sinB2sinC2

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 ?

Question

Which of the following relations hold true ?

Options:

A . r=Δs,r=2RsinA2sinB2sinC2

B . r=Δs,r=RsinA2sinB2sinC2

C . r=Δs,r=2RsinA3sinB3sinC3

D . r=Δs,r=2RsinA3sinB2sinC2

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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