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In right triangle ABC, right angle at C,...

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`

A

ASA

B

RHS

C

SSS

D

SAS

Text Solution

Verified by Experts

The correct Answer is:
D
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