In right triangle ABC, right angled at C, Mis 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

`DeltaDBC~=DeltaACB`

In right triangle ABC, right angled at C, Mis 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 DeltaAMC~=DeltaBMD

In right triangle ABC, right angled at C, Mis 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 angleDBC is right angle.

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 D M\ =\ C M . Point D is joined to point B (see Fig. 7.23). Show that: (i) DeltaA M C~=DeltaB M D (ii) /_DBC is a right angle (iii) Δ DBC ≅ Δ ACB (iv) CM =1/2 AB

In right triangle ABC, right angle at C, M is the mid-point of the hydrotenuse 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) DeltaAMC cong DeltaBMD (ii) angleDBC=angleACB (iii) DeltaDBC cong DeltaACB (iv) CM=1/2 AB

In right triangle A B C , right angle at C , M is the mid-point of the hypotenuse A Bdot C is jointed to M and produced to a point D such that D M=C Ddot Point D is joined to point Bdot Show that A M C~= B M D (ii) /_D B C=/_A C B D B C~= A C B (iii) C M=1/2A B

In a right ABC right-angled at C, if D is the mid-point of BC, prove that BC^(2)=4(AD^(2)-AC^(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.