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Sahay Sir > Question Answers > NCERT Class 9 > Maths > Chapter 7 - Triangles > 8. 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 figure). Show that (i) ∆AMC ≅ ∆BMD (ii) ∠DBC is a right angle (iii) ∆DBC ≅ ∆ACB (iv) CM = 1/2 AB

8. 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 figure). Show that (i) ∆AMC ≅ ∆BMD (ii) ∠DBC is a right angle (iii) ∆DBC ≅ ∆ACB (iv) CM = 1/2 AB

8. In right triangle ABC AC = AD and AB bisects ∠ A (see figure). Show that ∆ABC ≅ ∆ABD. What can you say about BC and BD? In quadrilateral ACBD right angled at C