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The sides of a triangle are in A.P. and ...

The sides of a triangle are in A.P. and its area is `(3)/(5)` th of an equilateral triangle of the same perimeter. Find the greatest angle of the triangle

A

`1:2:3`

B

`3:5:7`

C

`1:3:5`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If in a triangle ABC, (sinA)/(sinC) = (sin(A-B))/(sin(B-C)), then

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  2. If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C, then the angle A...

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  3. The sides of a triangle are in A.P. and its area is (3)/(5) th of an e...

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  4. In a triangle sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2si...

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  5. In any triangle ABC ,(tan(A/2)-tan(B/2))/(tan(A/2)+tan(B/2)) is equal ...

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  6. If the sides a,b and c of a ABC are in A.P.,then (tan(A/2)+tan(C/2))...

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  7. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

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  8. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

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  9. If a DeltaABC is right angled at B, then the diameter of the incircle ...

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  10. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

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  11. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

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  12. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

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  13. If I is the incentre of a !ABC , then IA:IB:IC is equal to

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  14. In a triangle ABC ,the HM of the ex-radii is equal to

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  15. In a DeltaABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

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  16. If in a !ABC,angleA=pi//3 and AD is a median , then

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  17. In a triangle ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

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  18. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

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  19. In a DeltaABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

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  20. In a △ ABC if a =26, b= 30 and cos C =63/65, then r(2) =

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