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

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Class IX_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. Show that:
Δ AMC ≅ Δ BMD
∠ DBC is a right angle.
Δ DBC ≅ Δ ACB
𝐂𝐌=𝟏/𝟐 𝐀𝐁

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