ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and AB in F and G respectively and intersect in H. Show that AF + AG > HF + HG. CONSTRUCTION: Draw HD and HE || to AB and AC respectively (Fig. F H. B

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ABC is a triangle. BF, CG are any two lines drawn from the extremities
of the base BC to meet AC and AB in F and G respectively and intersect in H.
Show that AF + AG > HF + HG.
CONSTRUCTION: Draw HD and HE || to AB and AC respectively
(Fig.
G
H.
Transcribed Image Text:ABC is a triangle. BF, CG are any two lines drawn from the extremities of the base BC to meet AC and AB in F and G respectively and intersect in H. Show that AF + AG > HF + HG. CONSTRUCTION: Draw HD and HE || to AB and AC respectively (Fig. G H.
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