ABDisatrianglerightangledatAand`ACbotBD`.Showthat ii) `AC^2=BC*DC`

ABD is a triangle right angled at A and ACbotBD .Showthat i) AB^2=BC*BD ii) AC^2=BC*DC iii) AD^2=BD*CD

ABD is a triangle right angled at A and ACbotBD . Show that i) AB^2=BC*BD

ABD is a Triangle right angle at A and AC bot BD . Show that (i) AB^2=BC.BD (ii) AD^2=BD.CD (iii) AC^2=BC.DC

ABC is a triangle right angled at C. A line through the midpoint M of hypotenuse AB and Parallel to BC intersects AC at D. Show that (i) D is the midpoint of AC (ii) MD_|_AC (iii) CM=MA=(1)/(2)AB.

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In the adjacent figure, ABC is a triangle in which angle ABC AC^2 = AB^2 + BC^2 -2BC. BD .

ABC is a right triangle with right angle at B, AC = 2. BC = 1 and BD is perpendicular to AC. The area of the rectangle with BD as one of its diagonal is

In triangle ACB , angle C = 90^@ and CD bot AB . Prove that BC^2/AC^2 = BD/AD .

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

In the given figure, AD is perpendicular to BC and EF "||" BC , if angle EAB = angle FAC , show that triangles ABD and ACD are congruent. Also , find the values of x and y if AB = 2x+3 , AC = 3y+1 , BD = x and DC = y+1 .