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The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two perpendiculars to the bisectors of the internal and external vertical angles at A to meet them in F and G respectively. Prove that (i) DF = } (AB – AC); (ii) DG = CONSTRUCTION: Produce CF, CG to meet AB, BA produced in H and M (Fig. (AB + AC). %3D %3D M D

The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two perpendiculars to the bisectors of the internal and external vertical angles at A to meet them in F and G respectively. Prove that (i) DF = } (AB – AC); (ii) DG = CONSTRUCTION: Produce CF, CG to meet AB, BA produced in H and M (Fig. (AB + AC). %3D %3D M D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two perpendiculars to the bisectors of the internal and external vertical angles at A to meet them in F and G respectively. Prove that (i) DF = } (AB – AC); (ii) DG = } (AB + AC). CONSTRUCTION: Produce CF, CG to meet AB, BA produced in H and M (Fig. M H B
Transcribed Image Text:The side AB in the triangle ABC is greater than AC, and D is the mid-point of BC. From C draw two perpendiculars to the bisectors of the internal and external vertical angles at A to meet them in F and G respectively. Prove that (i) DF = } (AB – AC); (ii) DG = } (AB + AC). CONSTRUCTION: Produce CF, CG to meet AB, BA produced in H and M (Fig. M H B
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