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In Delta ABC if a^2+b^2+c^2=ca+ab sqrt3 ...

In `Delta ABC if a^2+b^2+c^2=ca+ab sqrt3` then the triangle is

A

equilateral

B

Right angled isosceles

C

right angle with ` A = 90 ^(@) , B = 60 ^(@) ,C = 30 ^(@) `

D

isosceles triangle

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
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  2. IF Delta ABC, if cot""A/2=(b+c)/a, then the triangle is

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  3. In Delta ABC if a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

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  4. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then the triangle i...

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  5. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

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  6. sum (a)/( s-a) (tan ""(B)/(2) - tan ""(C )/(2)) =

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  7. In Delta ABC, sum (a+b) tan ((A-B)/2)=

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  8. In Delta ABC sum(sin^2A+sinA+1)/(sinA) is always greater than

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  9. In Delta ABC, sum ( tan ""(A)/(2))/( (s-b)(s-c))=

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  10. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

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  11. If b=3 , c =2 , A = 120 ^(@) then length of bisector of angle A is

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  12. If a =7, b= 8 , c= 9 then the length of the line joining B to the mi...

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  13. If b^(2) +c^(2) = 3a^(2) then cot B +cot C -cot A=

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  14. If the hypotenuse of a right angled triangle is four times the length ...

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  15. In Delta ABC, if r1=8, r2=12, r3=24, then a=

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  16. If r : R r1 = 2: 5 : 12 then angle A =

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  17. In /\ABC prove that (r1)/(bc) + (r2)/(ca) + (r3)/(ab) = 1/r - 1/(2R).

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  18. If r r2 = r1 r3 " then " angle A + angle C =

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  19. If (r2 -r1 ) = 2r2r3 " then " angle A =

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  20. Prove that r1 +r2+r3-r = 4R

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