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For any triangle ABC, If B=3C, show tha...

For any triangle ABC, If `B=3C`, show that `cosC=sqrt((b+c)/(4c)) and sinA/2=(b-c)/(2c)`

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MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
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  2. For any triangle ABC, If B=3C, show that cosC=sqrt((b+c)/(4c)) and s...

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  3. In a triangle ABC, BD is a median. If l(BD) = (sqrt3)/4 l(AB) and /DBC...

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  4. If ABCD is a rhombus. The circumradii of triangleABD and triangleACD a...

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  6. If in a triangle ABC, the altitude AM be the bisector of /BAD, where D...

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  7. Prove that : (abc)/(s) cos (A)/(2) cos (B)/(2) cos (C )/(2) = triangle...

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  8. Find the angle of a triangle in which the latitude and a median drawn ...

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  9. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

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  10. If in a triangle ABC, /A = 30^@ and the area of triangle (sqrt3a^2)/4 ...

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  11. If p1,\ p2, p3 are the altitudes of a triangle from the vertices A , B...

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  12. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

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  13. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

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  14. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

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  15. Prove that 2R cos A = 2R + r - r(1)

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  16. The triangle ABC is a right angled triangle, right angle at A. The rat...

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  17. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

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  18. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

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  19. If D is the mid point of CA in triangle ABC and Delta is the area of t...

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  20. Show that the radii of the three escribed circles of a triangle are ro...

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