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Practicals I to V of MATH-2

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HTML Practicals Practical No.1 Verified by Aim: Cut out two identical right angled triangles. Name the vertices of the triangles as A, B, C on both sides. Draw the altitude on the hypotenuse of one of them. Name the foot of the perpendicular as D. Cut the triangle on its altitude and obtain two triangles. State the correspondences by which the three triangles are similar with one another. Observation table For ∆ABC For ∆BDC For ∆ADB ∠ABC=90° ∠BDC=90° ∠ADB=90° ∠BAC=60° ∠DCB=60° ∠DBA=90° ∠ACB=30° ∠CBD=60° ∠BAD=60° with the above observation In ∆ABC and ∆BDC under ABC ↔ BDC ∠ABC≅∠BDC ∠BCA≅∠DCB ∠CAB≅∠CBD ∴∆ABC~∆BDC (By A-A-A test of similarity) In ∆ABC and ∆ADB under ABC ↔ ADB ∠ABC≅∠ADB ∠BCA≅∠DBA ∠CAB≅∠B