1. Prove that any straight line drawn to form the vertex of a triangle to the base is bisected by the straight line that joins the midpoints of the other sides.
2. AD and BE are the altitudes of an isoscles triangle ABC with AB = BC. Prove that AE = BD
3. In a triangle ABC, the bisector of angle A meets base BC at D. Prove that AB>BD
4. In a triangle PQR, S is any point on QR. Prove that PQ + QR + PR > 2PS
5. If two isosceles triangles have a common base, then prove that the line joining their vertices bisects them at right angles.
6. In triangle ABC, D is the midpoint of AB and P is any point on BC. A line CQ is drawn parallel to PD to meet AB at Q.
Prove that ar(BPQ) = 1/2 ar(ABC)
2006-11-21
20:57:52
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6 answers
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asked by
Akilesh - Internet Undertaker
7
in
Mathematics