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

In right triangle ABC, right angled at C, M is the midpoint 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 the given figure). Show that:
(i) `triangle AMC = triangleBMD`
(ii) `angle DBC` is a right angle
(iii) `triangleDBC = triangleACB`
(iv) `CM=1/2` AB
`

Text Solution

Verified by Experts

The correct Answer is:
`1/2` AB
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