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The base of a triangle is 80 and one of ...

The base of a triangle is 80 and one of the base angles is `60^@`. IF the sum of the lengths of the other two sides is 90, then the shortest side is

A

` 15 cm `

B

` 19 cm `

C

` 21 cm `

D

` 17 cm `

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The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. If A = 2 B then a^(2) =

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  2. In Delta ABC , (a)/( cos A) = (b) /( cos B ) = ( c ) /( cos C ) , If ...

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  3. The base of a triangle is 80 and one of the base angles is 60^@. IF th...

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

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  5. The sides of a triangle are sin alpha,cos alpha and sqrt(1+sin alpha c...

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  6. In Delta ABC if b+c:c+a:a+b=11:12:13, then cos A: cos B: cos C=

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  7. The smallest angle of the triangle whose sides are 6+sqrt12,sqrt48,sqr...

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  8. In DeltaABC, " if" (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c) then show that C=...

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  9. If DeltaABC, ifangleC=(pi)/(3), "then"(3)/(a+b+c)-(1)/(a+c) equals

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  10. If C=60^(@), " then show that"(a)/(b+c)+(b)/(c+a)=1

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  11. If angles A,B,C are in A.P . , then 2cos (( A-C)/( 2))=

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  12. If C = 60 ^(@) " then "= ( b)/( c^(2) -a^(2)) + ( a) /( c^(2)- b^(2...

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  13. In an acute angled Delta ABC , if a^(4) + b^(4) +c^(4) = 2c^(2)...

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  14. In Delta ABC, if (2 cos A)/a+ (cos B)/b+ (2 cos C)/c=a/(bc)+b/(ca), th...

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

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  16. The lengths of the two larger sides of a triangle are 10 and 9. If the...

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  17. In Delta ABC, if B=90^@ then tan""A/2=

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  18. In Delta ABC , if A = 3C " then " (a-c)/( 2c ) =

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  19. Two sides of a triangle are given by the roots of the equation x^2-5x+...

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  20. Two adjacent sides of cyclic quadrilateral are 2 and 5 and angle betwe...

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