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
`CM=MA=1/2AB`

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 MDbotAC

ABC is a triangle right angled at C. A line through the mid points M of hypotenuse AB and parallel to BC intersects AC at D. Show that D is the mid point of AC MD bot AC CM=MA=1/2AB

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 D is the mid-point of AC

ABC is a triangle, right angled at C. If AB=25cm and AC=7cm, find BC.

In right triangle ABC, right angled 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. Show that (i) triangleAMC ~= triangleBMD (ii) angleDBC is a right angle. (iii) triangleDBC ~= triangleACB (iv) CM = 1/2 AB

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 .

ABCD is a trapezium in which AB abs DC , BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the mid-point of BC.

ABCD is a trapezium in which AB||DC, BD is a diagonal and E is the mid point of AD. A line is drawn through E parallel to AB intersecting BC at F. Show that F is the mid point of BC.

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