In right triangle ABC, right angled at C, M isthe mid-point of hypotenuse AB. C is joined to M and p

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#InrighttriangleABC,rightangledatC,MisthemidpointofhypotenuseAB.CisjoinedtoMandproducedto

NCERT EX-7.1 QUESTION NUMBER 8 OF TRIANGLES

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
(see Fig. 7.23). Show that:
(i) Δ AMC ≅ Δ BMD
(ii) ∠ DBC is a right angle.
(iii) Δ DBC ≅ΔACB
(iv) CM=1/2 AB
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