Related InterviewSolutions

• In any `DeltaABC`, prove that `(b^(2)-c^(2))cotA+(c^(2)+a^(2))cotB+(a^(2)-b^(2))cotC=0`.
• In any triangle `A B C ,`prove that: ` a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B)=0`
• In any triangle `A B C ,`prove that: `(b-c)/(b+c)=(tan((b-C)/2))/(tan((B+C)/2))`
• In any triangle `A B C ,`prove that:`(b-c)cot A/2+(c-a)cot B/2+(a-b)cot C/2`=0
• Solve the triangle in which a = 2 cm, b = 1 cm and `c=sqrt3`cm.
• If in a ` A B C , /_A=45^0, /_B=60^0, a n d /_C=75^0`, find the ratio of its sides.
• In a `DeltaABC," if "/_A=30^(@)"and "b : c =2: sqrt3, " find "/_B`.
• In any `DeltaABC`, prove that `((a-b))/c"cos"C/2="sin"((A-B))/2`
• In any triangle `A B C ,`prove that: `("sin"(B-C))/("sin"(B+C))=(b^2-c^2)/(a^2)`
• In any `DeltaABC`, prove that `"a sin (B - C) + bsin(C - A) + csin(A - B)=0`.