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" The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars. "
The Essentials of Geometry - Page 224
by Webster Wells - 1899 - 395 pages
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Transactions, Volume 28

Actuarial Society of America - Insurance - 1927 - 480 pages
...intersect in F. Prove that the triangle BFC is equal in area to the quadrilateral ADFE. 11. Prove that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point. 12. (a) Write down and simplify an expression for the numerical value of : cos [cor1...
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A Textbook Of Mathematics

B.K. Dev Sarma - 2003 - 676 pages
...5+42 2(-4 + 48)-(6 + 60)-(12+10) 88-66-22 0 Therefore, the three lines are concurrent Example 14 Prove the perpendiculars from the vertices of a triangle to the opposite sides meet at a point. Ans: Without loss of generality, let us take the vertices of the triangle ABC as A(0,...
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Transactions, Volume 22

Actuarial Society of America - Insurance - 1921 - 656 pages
...vote and in how many ways will the votes be equally divided among the candidates ? 11 (a) Show that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point. (5) If from a point within an equilateral triangle, perpendiculars are drawn to the...
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