In a `Delta A B C ,\ \ /_A=x^o,\ \ /_B=3x^o` and `/_C=y^o` . If `3y-5x=30` , prove that the triangle is right angled.

in the triangle ABC,/_A=x^(@),/_B=3x^(@),/_C=y^(@) .if 3y-5x=30 then prove that the triangle is right angled.

In a triangle ABC, /_A=x^(2),/_B=y^(@) and /_C=(y+20)^(@) . If 4x+y=10 , then the triangle is

In a ABC,/_A=xo,quad /_B=(3x-2)o,quad /_C=yo Also,/_C-/_B=9o. Find the three angles

In Delta ABC,AB=AC and the bisectors of /_B and /_C meet at a point O. Prove that BO=CO and the ray AO is the bisector of /_A.

In a cyclic quadrilateral ABCD/_A=(2x+4)o,quad /_B=(y+3)o,quad /_C=(2y+10)o,quad /_D=(4x-5)0. Find the four angles.

The equations of the sides A B ,\ B C\ a n d\ C A\ of\ "Delta"A B C\ a r e\ y-x=2,\ x+2y=1\ a n d\ 3x+y+5=0 respectively. The equation of the altitude through B is x-3y+1=0 b. x-3y+4=0 c. 3x-y+2=0 d. none of these

The line x+y=a meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the triangle OAB , O being the origin, with right angle at N, M and N lie respectively on OB and AB. If the area of the triangle AMN is 3/8 of the area of the triangle OAB , then (AN)/(BM) is equal to:

o is the origin. A and B are variable points on y =x and x +y=0 such that the area of triangle OAB is k^2. The locus of the circumcentre of triangle OAB is

If ax^(2)+bx+c=0 and 5x^(2)+6x+12=0 have a common root where a, b and c are sides of a triangle ABC , then (A) Delta ABC is obtuse angled (B) Delta ABC is acute angled (C) Delta ABC is right angled (D) no such triangle exists

In a right triangle ABC, right angled at C, if /_B=60o and AB=15 units.Find the remaining angles and sides.