1.15. ABC is a triangle. If the bisectors of the two exterior angles B and C of the triangle meet at D and DE is the perpendicular from D on AB produced, prove that AE = CONSTRUCTION: Draw DF and DG 1s BC and AC produced; then join DA (Fig. 15). I the perimeter of the AABC. A B E

1.15. ABC is a triangle. If the bisectors of the two exterior angles B and C of the triangle meet at D and DE is the perpendicular from D on AB produced, prove that AE = CONSTRUCTION: Draw DF and DG 1s BC and AC produced; then join DA (Fig. 15). I the perimeter of the AABC. A B E

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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Question

1.15. ABC is a triangle. If the bisectors of the two exterior angles B and C
of the triangle meet at D and DE is the perpendicular from D on AB
produced, prove that AE = the perimeter of the AABC.
CONSTRUCTION: Draw DF and DG [s BC and AC produced; then
join DA (Fig. 15).
A
B
C
E
FIGURE 15

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