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In a DeltaA B Csum(b+c)tanA/2tan((B-C)/2...

In a `DeltaA B Csum(b+c)tanA/2tan((B-C)/2)=`

A

a

B

b

C

c

D

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D
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In Delta ABC if tan((A)/(2))tan((B)/(2))+tan((B)/(2))tan((C)/(2))=(2)/(3) then a+c

In any Delta ABC(i)tan((B-C)/(2))=((b-c)/(b+c))(cot A)/(2)(ii)tan((A-B)/(2))=((a-b)/(a+b))(cot C)/(2)(iii)tan((C-A)/(2))=((c-a)/(c+a))(cot B)/(2)

Statement-1: In a !ABC , (a+b+c)(tanA/2+tanB/2)=2c cotC/2 Statement-2: In a !ABC , a = b cos C + c cos B

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

Show that in any triangle ABC,(a+b+c)(tan((A)/(2))+tan((B)/(2)))=2c cot((C)/(2))

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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. If in a triangle ABC, right angled at B, s-a=3, s-c=2, then the values...

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  2. If the sides of a triangle are a, b and sqrt(a^(2) + ab + b^(2)), then...

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  3. In a DeltaA B Csum(b+c)tanA/2tan((B-C)/2)=

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  4. In triangle ABC, angleA=pi/3 and b:c =2:3, tan theta=sqrt3/5, 0 lt the...

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  5. In a DeltaABC, AD is the altitude from A. Given bgtc ,angleC=23^(@) an...

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  6. If the angles A, B, C (in that order) of triangle ABC are in arithmeti...

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  7. If the radius of the incircle of a triangle withits sides 5k, 6k and 5...

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  8. Two sides of a triangle are 2sqrt2 and 2sqrt3cm and the angle opposite...

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  9. In a triangleABC, a=13cm, b=12 and c=5cm The distance of A from BC is

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  10. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

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  11. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

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  12. In DeltaABC if a=(b-c)sectheta then (2sqrt(bc))/(b-c)sin(A/2)=

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  13. In a DeltaABC, (a + b + c) (b + c - a) = lambda bc. (where symbols ha...

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  14. If in DeltaABC, a=2b and A=3B, then A is equal to

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  15. Let the angles A , B and C of triangle A B C be in AdotPdot and let b ...

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  16. If in a Delta ABC, AD, BE and CF are the altitudes and R is the circum...

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  17. If in a triangleABC=(a)/(cos A)=(b)/(cos B), then

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  18. In a triangleABC, s/R=

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  19. If in a triangleABC, A=pi/3 and AD is the median, then

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  20. If any triangleABC, the value of a(b^(2)+c^(2))cos A+b(c^(2)+a^(2))cos...

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