ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse ABand parallel to BC intersects AC at D. Show that(i) D is the mid-point of AC (ii) `M D_|_A C`(iii) `C M\ =\ M A=1/2A B`

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is the mid-point of AC (ii) M D_|_A C (iii) C M" "=" "M A=1/2A B

ABC is a triangle right-angled at C. A line through the midpoint P of hypotenuse AB and parallel to BC intersects AC at M. Show that "(i) " M is the midpoint of AC, "(ii) " MP bot AC , "(iii) " CP = AP=(1)/(2)AB.

Delta ABC is a right triangle right angled at A such that AB=AC and bisector of /_C intersects the side AB at D.Prove that AC+AD=BC .

ABC is a triangle right angled at B.D is a point on AC such that /_ABD=45^(@) If AC=6 and AD=2 then AB=

In Fig.3,ABC is a right triangle,right angled at C and D is the mid-point of BC.Prove that AB^(2)=4AD^(2)-3AC^(2)

In the adjoining figure, DeltaABC is right angled at C and M is the mid-point of hypotenuse AB, If AC = 32 cm and BC = 60 cm, then find the length of CM.

ABC is a right angled triangle. B being the right angle. Mid-points of BC and AC are respectively B' and A'. Area of DeltaA'B'C' is