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In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))...

In `DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B))`, prove that the triangle is isosceles or right triangle.

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. If r and R are radii of the incircle and circum-circle of DeltaABC, t...

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  2. If A is the area and 2s is the sum of the sides of a triangle, then Al...

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  3. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

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  4. The sides of a triangle are in AP. If the angles A and C are the great...

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  5. perpendiculars are drawn from the angles A , Ba n dC of an acute-angle...

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  6. If cos theta=(a)/(b+c),cos phi=(b)/(a+c),cospsi=(c)/(a+b), where theat...

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  7. Given the base of a triangle, the opposite angle A, and the product k^...

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  8. If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)...

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  9. If in a triangle A B C ,cosA+2cosB+cosC=2 prove that the sides of the ...

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  10. Consider the following statements concerning a DeltaABC (i) The sid...

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  11. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

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  12. Let ABC be a triangle having O and I as its circumcentre and incentre,...

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  13. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

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  14. If In is the area of n-s i d e d regular polygon inscribed in a cir...

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  15. In a DeltaABC, if r(1) +r=r(2), then find the vlaue of (sec ^(2) A + c...

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  16. In DeltaABC, let b=6, c=10and r(1) =r(2)+r(3)+r then find area of Delt...

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  17. Consider on obtuse angle triangles with side 8 cm, 15 cm and xx cm (la...

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  18. letABC be a right angled triangle at C. If the inscribed circle touche...

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  19. Consider a Delta ABC and let a,b, and c denote the leghts of the sides...

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  20. In a DeltaABC, the internal bisector of angle ABC meets AC at k. if BC...

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