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If A=30^0, a=7,a n db=8 in A B C , then...

If `A=30^0, a=7,a n db=8` in ` A B C ,` then find the number of triangles that can be constructed.

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To find the number of triangles that can be constructed given the values \( A = 30^\circ \), \( a = 7 \), and \( b = 8 \) in triangle \( ABC \), we can use the Law of Sines. ### Step-by-Step Solution: 1. **Identify the Given Values**: - \( A = 30^\circ \) - \( a = 7 \) - \( b = 8 \) ...
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CENGAGE ENGLISH-PROPERTIES AND SOLUTIONS OF TRIANGLE-Illustration
  1. Given a triangle A B C with sides a=7, b=8 and c=5. Find the value of ...

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

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

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  4. 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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  5. 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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  6. In A B C ,a , ca n dA are given and b1,b2 are two values of the third...

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

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

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  9. The diameters of the circumcirle of triangle ABC drawn from A,B and C ...

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  10. Find the lengths of chords of the circumcircle of triangle ABC, made b...

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  11. Let A B C be a triangle with /B=90^0 . Let AD be the bisector of /A wi...

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  12. If the distances of the vertices of a triangle =ABC from the points of...

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  13. If x , ya n dz are the distances of incenter from the vertices of the ...

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  14. Prove that cosA+cosB+cosC=1+r/R

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  15. Prove that ("a c o s"A+b cosB+ccosC)/(a+b+c)=r/Rdot

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  16. Incircle of A B C touches the sides BC, CA and AB at D, E and F, resp...

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  17. In an acute angled triangle A B C , a semicircle with radius ra is con...

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  18. Let the incircle with center I of A B C touch sides BC, CA and AB at ...

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  19. In A B C , the bisector of the angle A meets the side BC at D andthe ...

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  20. Let I be the incetre of ΔABC having inradius r. Al, BI and Ci intersec...

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