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 : `CM = MA = 1/2 AB` .

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 : MD_|_ AC

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 : D is the midpoint of AC.

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.

ABC is an isosceles triangle right angled at C. Prove that AB^2=2AC^2 .

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

In right triangle ABC, right angle is at 'C'. M s the mid-point of hypotenuse . ABC is joined to M and produced to a point D such that DM = CM. Point D is Joined to point B (see fig.). Show that: CM=1/2AB

ABC is an isosceles Triangle right angled at C. Prove that AB^2=2AC^2 .

In right triangle ABC, right angle is at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see figure). Show that : (i) DeltaAMC ~= DeltaBMD (ii) /_DBC is a right angle (iii) Delta DBC ~= DeltaACB (iv) CM = 1/2 AB .

ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that AE^2+CD^2=AC^2+DE^2 .

In triangle ABC right angle at B, AB=x,BC=y,AC=r then costheta =