2 In the triangle ABC, the point D divides the line AB in the ratio 1:3 and E divides the line AC also in the ratio 1:3. B D a A bE If AD = a and AE= b, prove that: a BC = 4 DE, %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2 In the triangle ABC, the point D divides the line AB in the ratio 1:3,
and E divides the line AC also in the ratio 1:3.
В
a 4
A bE
C
>
If AD =
a and AE=b, prove that:
a BC= 4 DE,
b BCED is a trapezium.
%3D
Transcribed Image Text:2 In the triangle ABC, the point D divides the line AB in the ratio 1:3, and E divides the line AC also in the ratio 1:3. В a 4 A bE C > If AD = a and AE=b, prove that: a BC= 4 DE, b BCED is a trapezium. %3D
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