Extended Questions

2007-07-17 3:46 am
http://xs117.xs.to/xs117/07291/120.jpg

果個網係我post上去既圖問題如下:

(a)The cross-section of the chocolate is shown in figure 2.
AF=3.464,BC=4,DE=3 and DE//BC.
Is 三角形ADE~三角形ABC?

(b) Find AG.

(c) figure 3 shows the side view of the chocolate.Find the volume of the chocolate.

回答 (1)

2007-07-17 4:07 am
✔ 最佳答案
(a)
angle ADE = angle ABC (corr. angles, DE//BC)
angle AED = angle ACB (corr. angles, DE//BC)
angle DAE = angle BAC (common angle)
so triangle ADE ~ triangle ABC (AAA or equiangular)

(b)
AG/AF = DE/BC
AG/3.464 = 3/4
AG = 2.598

(c)
Volume of the chocolate
= 9 x 1/2 x 3.464 x 4 x 2 - 4 x 1/2 x 2.598 x 3 x 2
= 93.528


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