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In a triangle A B CifB C=1a n dA C=2, th...

In a triangle `A B CifB C=1a n dA C=2,` then what is the maximum possible value of angle `A ?`

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To find the maximum possible value of angle \( A \) in triangle \( ABC \) where \( BC = 1 \) and \( AC = 2 \), we can use the Law of Sines. ### Step-by-Step Solution: 1. **Identify the Sides and Angles**: We have a triangle \( ABC \) with sides \( BC = a = 1 \) and \( AC = b = 2 \). We need to find the maximum possible value of angle \( A \). 2. **Apply the Law of Sines**: ...
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CENGAGE ENGLISH-PROPERTIES AND SOLUTIONS OF TRIANGLE-Illustration
  1. If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of ta...

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  2. In a triangle A B CifB C=1a n dA C=2, then what is the maximum possibl...

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  3. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

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  4. If A=75^0,b=45^0, then prove that b+csqrt(2)=2a

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  5. If the base angles of triangle are (22)/(12)a n d112 1/2^0 , then prov...

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  6. If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H...

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  7. Prove that (a^2sin(B-C))/(sinb+sinC)+(b^2"sin"(C-A))/(sinC+sinA)+(c^2"...

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  8. In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the...

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  9. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

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  10. In a triangle A B C ,/c=60^0a n d/A=75^0 . If D is a point on A C such...

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  11. In a scalene triangle A B C ,D is a point on the side A B such that C ...

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  12. In a triangle ABC, angle A = 60^(@) and b : c = (sqrt3 + 1) : 2, then ...

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  13. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

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  14. The base of a triangle is divided into three equal parts. If t1, t2,t3...

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  15. In any DeltaABC , prove that (a-b)^(2)cos^(2)(C/2)+(a+b)^(2)sin^(2)(C ...

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  16. In A B C ,= if (a+b+c)(a-b+c)=3a c , then find /Bdot

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  17. If a = sqrt3, b = (1)/(2) (sqrt6 + sqrt2), and c = sqrt2, then find an...

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  18. The sides of a triangle are x^2+x+1, 2x+1 and x^2-1. Prove that the gr...

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  19. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

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  20. Let a , ba n dc be the three sides of a triangle, then prove that the ...

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