The local town is planning to build a highway that will intersect the borders of the field at points D and E, where DC 210m and CED= 100, as shown in the diagram below. %3D diagram not to scale A highway 650 210 100 C. B (b) Find DE. The town wishes to build a carpark here. They ask the farmer to exchange the part of the field represented by triangle DCE. In return the farmer will get a triangle of equal area ADF, where F lies on the same line as D and E, as shown in the diagram above. (c) Find the area of triangle DCE. (d) Estimate DF. You may assume the highway has a width of zero.
The local town is planning to build a highway that will intersect the borders of the field at points D and E, where DC 210m and CED= 100, as shown in the diagram below. %3D diagram not to scale A highway 650 210 100 C. B (b) Find DE. The town wishes to build a carpark here. They ask the farmer to exchange the part of the field represented by triangle DCE. In return the farmer will get a triangle of equal area ADF, where F lies on the same line as D and E, as shown in the diagram above. (c) Find the area of triangle DCE. (d) Estimate DF. You may assume the highway has a width of zero.
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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Transcribed Image Text:The local town is planning to build a highway that will intersect the borders of the field at
points D and E, where DC = 210m and CÊD = 100", as shown in the diagram below.
diagram not to scale
highway
650
210
100
C.
(b)
Find DE.
The town wishes to build a carpark here. They ask the farmer to exchange the part of the
field represented by triangle DCE. In return the farmer will get a triangle of equal area ADF,
where F lies on the same line as D and E, as shown in the diagram above.
(c)
Find the area of triangle LDCE.
(d)
Estimate DF. You may assume the highway has a width of zero.
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