Prove that the three perpendiculars in a triangle cross through the same point Hint: Construct the...

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Prove that the three perpendiculars in a triangle cross through the same point Hint: Construct the...

Prove that the three perpendiculars in a triangle cross through the same point

Hint: Construct the two perpendiculars from A and B and label their intersection point as O. Then prove that vector OB is perpendicular to vector AB

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Answer 1

Answer #1

To prove the three perpendiculars in a traingle cross through the same point . Assume that the perpendiculars AI and cJ . int From (1) and (8) we get Bö. BÃ = BT. Bħ = Bo.be Now Bol. Ac = Bor ( AB + BE ) . (As by rector rule, AC=AB + Be) = Bon AB + Bo

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Answer 2

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