`A B C` is a right triangle right-angled at `Ca n dA C=sqrt(3)B C` . Prove that `/_A B C=60^0dot`

ABC is a right triangle right angled at C and AC = sqrt3BC . Prove that angleABC= 60^(@) .

In Figure, A B C is a right triangle right angled at B and points Da n dE trisect B C . Prove that 8A E^2=3A C^2+5A D^2dot

A B C is an isosceles right triangle right-angled at C . Prove that A B^2=2A C^2 .

ABC is an isosceles right triangle, right-angled at C . Prove that: A B^2=2A C^2dot

A B C is a triangle right angled at B ; a n d\ P is the mid-point of A C . Prove that: P Q\ _|_A B (ii) Q is the mid point of A B P B=P A=1/2A C

A B C is a right triangle right-angled at A and A D_|_B C . Then, (B D)/(D C)= mm (a) ((A B)/(A C))^2 (b) (A B)/(A C) (c) ((A B)/(A D))^2 (d) (A B)/(A D)

In the given figure, Delta A B C is a right triangle right angled at A . D lies on B A produced and D E_|_B C , intersecting A C at F . if /_A F E=130^0, find (i) /_B D E (ii) /_B C A (iii) /_A B C

A B C is a right triangle right-angled at C . Let B C=a ,\ \ C A=b ,\ \ A B=c and let p be the length of perpendicular from C on A B , prove that (i) c p=a b

In Figure, A B C is a right triangle right angled at B and D is the foot of the the perpendicular drawn from B on A C . If D M_|_B C and D N_|_A B , prove that: (i) D M^2=D NxxM C (ii) D N^2=D MxxA N

In fig.41, A B C is a right triangle right angled at Adot D lies on B A produced and D E_|_B C , intersecting A C at F . if /_A F E=130^0, find /_B D E (ii) /_B C A /_A B C