In ` A B C ,/_A=90^0a n dA D` is an altitude. Complete the relation `(B D)/(D A)=(A B)/(())` .

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D are mutually perpendicular. Let the area of triangles A B C ,A C Da n dA D B be 3, 4 and 5sq. units, respectively. Then the area of triangle B C D is 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2

In a parallelogram A B C D , if /_D A B=75^0a n d\ /_D B C=60^0, then /_B D C= (a) 75^0 (b) 60^0 (c) 45^0 (d) 55^0

In A B C , if /_A=100^0, A D bisects /_A a n d /_A D _|_B C . Then, /_= 50^0 (b) 90^0 (c) 40^0 (d) 100^0

In A B C , /_B=/_C and ray A X bisects the exterior angle /_D A CdotIf /_D A X=70^0, t h e n /_A C B= 35^0 (b) 90^0 (c) 70^0 (d) 55^0

In A B C ,a=5,b=12 ,c=90^0a n dD is a point on A B so that /_B C D=45^0dot Then which of the following is not true? C D=(60sqrt(2))/(17) (b) B D=(65)/(17) A D=(60sqrt(2))/(17) (d) none of these

In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equal to 45^0 (b) 60^0 (c) 90^0 (d) 120^0

In A B C , /_B=60^0,/_C=40^0, A L_|_B C a n d A D bisects /_A such that L and D lie on side B Cdot Find /_L A Ddot

In a parallelogram A B C D , if /_D=115^0, then write the measure of /_A

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E