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If a cosA=b cos B, then prove that eithe...

If `a cosA=b cos B`, then prove that either the triangle is isosceles or right triangle.

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. In a triangle Delta ABC, prove the following : (tan A//2)/((a-b)(a-...

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  2. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

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  3. If a cosA=b cos B, then prove that either the triangle is isosceles or...

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  4. If in Delta ABC, c(a+b) cos ""1/2 B=b (a+c) cos ""1/2 C, the triangle ...

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  5. Let A, B be two points on the bank of a straight river, and C, D point...

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  6. In the ambiguous case, it two triangles are formed with a, b, A, then ...

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  7. If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the...

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  8. Statement I In a Delta ABC, if a lt b lt c and r is inradius and r(1) ...

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  9. Statement I If the sides of a triangle are 13, 14 15 then the radius o...

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  10. Statement I In a DeltaABC, sum (cos ^(2)""(A)/(2))/(a ) has the value...

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  11. If the sides of a triangle are in A.P., and its greatest angle exceeds...

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  12. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  13. If r and R are radii of the incircle and circum-circle of DeltaABC, t...

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

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

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

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

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

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

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

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