Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base АВ CD and moving clockwise as shown in the diagram below. What is the ratio ? CD C 2 3 4 A (A) 3 (B) 2 + V2 (C) 1+ v6 (D) 2/3 (E) 3/2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 21E
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Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a point inside
ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base
АВ
CD and moving clockwise as shown in the diagram below. What is the ratio
CD
2
5
4
A
B
(A) 3
(B) 2 + v2
(C) 1+ v6
(D) 2/3
(E) 3/2
Transcribed Image Text:Let ABCD be an isosceles trapezoid having parallel bases AB and CD with AB > CD.Line segments from a point inside ABCD to the vertices divide the trapezoid into four triangles whose areas are 2, 3, 4, and 5 starting with the triangle with base АВ CD and moving clockwise as shown in the diagram below. What is the ratio CD 2 5 4 A B (A) 3 (B) 2 + v2 (C) 1+ v6 (D) 2/3 (E) 3/2
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