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In a triangleABC, " if "(sin A)/(sin C)=...

In a `triangleABC, " if "(sin A)/(sin C)=(sin(A-B))/(sin (B-C))," prove that "a^(2),b^(2),c^(2)` are in Artithmetic Progression.

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The correct Answer is:
thus `a^(2),b^(2),c^(2)` are in Arithmetic progression.
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Knowledge Check

  • In a triangle ABC sin^(2)A+sin^(2)B+sin^(2)B+sin^(2)C=2 , then the triangle is

    A
    equilateral triangle
    B
    isosceles triangle
    C
    right triangle
    D
    scalene triangle.

  • In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2 , then the triangle is

    A
    equilateral triangle
    B
    isosceles triangle
    C
    right triangle
    D
    scalene triangle

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