In DeltaABC if 2s =a +b+c and (s-b)(s-c...

In `DeltaABC if 2s =a +b+c and (s-b)(s-c)=x" sin"^(2)(A)/(2)` ,then the value of x is

A

bc

B

ca

C

ab

D

abc

Verified by Experts

The correct Answer is:

A

We have , `"sin"(A)/(2)=sqrt((s-b)(s-c))/(bc)`
`rArrbc" sin"^(2)(A)/(2)=(s-b)(s-c)`
On comparing with `x" sin"^(2)(A)/(2)=(s-b)(s-c)`, we get
x = bc

Similar Questions

Explore conceptually related problems

In a DeltaABC , if 2s=a+b+cand(s-b)(s-c)=xsin^(2).(A)/(2) , then x =

In Delta ABC , if : 2s = a + b + c , then: (s(s - a))/(bc) =

If, in a Delta ABC, (s - b)(s-c) = x cdot sin^(2) (A/2) , then : x =

In DeltaABC , if r = 1, R = 3, and s = 5 , then the value of a^(2) + b^(2) + c^(2) is _____

In DeltaABC , if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maximum value of the area of DeltaABC is

In a DeltaABC , if a b and c are in AP ,then the value of ("sin"(A)/(2)"sin"(C)/(2))/("sin"(B)/(2)) is

In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

Let a+b+c =s and |{:(s+c,,a,,b),(c,,s+a,,b),(c,,a,,s+b):}|=532 then the value of s is "____"