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Find the value of tan A, if area of Delt...

Find the value of tan A, if area of `Delta ABC is a^(2) -(b-c)^(2).`

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To find the value of \( \tan A \) given that the area of triangle \( ABC \) is \( a^2 - (b - c)^2 \), we can follow these steps: ### Step 1: Express the Area of the Triangle The area \( \Delta \) of triangle \( ABC \) is given by: \[ \Delta = a^2 - (b - c)^2 \] We can rewrite this expression using the difference of squares: ...
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CENGAGE ENGLISH-PROPERTIES AND SOLUTIONS OF TRIANGLE-Illustration
  1. If the sides a , ba n dCof A B C are in AdotPdot, prove that 2sinA/2s...

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  2. Prove that (cotA/2+cotB/2)(asin^2B/2+bsin^2A/2)=ccotC/2

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  3. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

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  4. Prove that a^(2) sin 2B + b^(2) sin 2A = 4 Delta

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  5. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

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  6. If the sides of a triangle are 17 , 25a n d28 , then find the greatest...

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  7. In equilateral triangle ABC with interior point D, if the perpendicula...

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  8. If area of a triangle is 2 sq. units, then find the value of the pr...

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  9. A triangle has sides 6,7, and 8. The line through its incenter para...

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  10. Each side of triangle ABC is divided into three equal parts. Find the ...

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  11. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

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  12. In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the ci...

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  13. Given a triangle A B C with sides a=7, b=8 and c=5. Find the value of ...

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  14. If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be ...

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  15. If A=30^0, a=7,a n db=8 in A B C , then find the number of triangles ...

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  16. If in triangle ABC, (a=(1+sqrt(3))c m ,b=2c m ,a n d/C=60^0 , then fin...

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  17. In A B C ,s i d e sb , c and angle B are given such that a has two va...

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  18. In A B C ,a , ca n dA are given and b1,b2 are two values of the third...

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  19. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

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  20. In A B C ,C=60^0a n dB=45^0dot Line joining vertex A of triangle and ...

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