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In DeltaABC, show that (b+c)cos A+(c+a...

In `DeltaABC, show that (b+c)cos A+(c+a)cos B+(a+b)cos C=a+b+c`

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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-I) (LEVEL-II) (Straight- Objective Type Questions)
  1. In DeltaABC, if a cos A+b cosB+ c cos C=(2A)/(k) then k=

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  2. In a triangle ABC,if a is the arithemetic mean and b,c (b ne c)are the...

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  3. In DeltaABC, show that (b+c)cos A+(c+a)cos B+(a+b)cos C=a+b+c

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  4. If the angles of a triangles are 30 ^(@) , 45 ^(@) and the include...

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  5. In DeltaABC=(b^(2)+c^(2))/(b^(2)-c^(2))=(Sin(B+C))/(Sin(B-C)) then the...

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  6. The perimeter of a Delta ABC is 6 times the A.M. of the sines of its a...

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  7. If A = (pi )/(4) , B = ( 5pi )/(12) " then " a + sqrt( 2 ) c=

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  8. In a triangle ABc if a=100= c=100 sqrt(2) and A=30^(@) then the angle ...

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  9. In triangle ABC are in A.P and b:c= sqrt(3): sqrt(2), then

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  10. If angles A, B and C are in AP, then (a + c)/b is equal to

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  11. In DeltABC if, |{:(1,b,c),(1,c,a),(1,b,c):}|=0 then sin^(2)A+sin^(2) C...

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  12. Equilateral triangle DEF is inscribed in equilateral triangle ABC as s...

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  13. In triangle ABC, angle B = pi//3. " and " angle C = pi//4 . Let D div...

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  14. In a triangle lfloor=55^(0), lfloorB=15^(0), lfloorC=110^(0) and (c^(2...

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  15. In DeltaABC, if cosA+sinA -(2)/(cosB+sinB)=0, then the value of ((a+b)...

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  16. In a triangle ABC if cos A.cos B.cos C=(sqrt(3)-1)/(8), sin A sinB sin...

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  17. If sides of a triangles are in the ratio x: y : sqrt( x^(2) +xy + y...

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  18. If two sides of a triangle are the roots of the equation 4x^2-(2sqrt6)...

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  19. If the sides of trinangles are x^(2) + x+ 1,2 x + 1 , x^(-2) -1 wher...

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  20. The straight roads intersect at angle of 60^@. A bus on one road is 2k...

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