Draw a straight line parallel to the base BC of the triangle ABC and meeting AB and AC (or produced) in D, E so that DE will be equal to (i) the sum of BD and CE; (ii) their difference. CONSTRUCTION: Bisect the /B to meet the bisectors of the C internally and externally in P and Q. Draw from P and Q the parallels D,PE, and QE,D2 to BC to meet AB and AC respectively in D1, D2 and E1, E2. Then E,D, and E,D2 are the two required lines '2• A Ez D2 B

Draw a straight line parallel to the base BC of the triangle ABC and meeting AB and AC (or produced) in D, E so that DE will be equal to (i) the sum of BD and CE; (ii) their difference. CONSTRUCTION: Bisect the /B to meet the bisectors of the C internally and externally in P and Q. Draw from P and Q the parallels D,PE, and QE,D2 to BC to meet AB and AC respectively in D1, D2 and E1, E2. Then E,D, and E,D2 are the two required lines '2• A Ez D2 B

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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