Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

Lesson 24: Introduction to Scale


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Find the ratios area I + area IIarea I and area IIarea I for )LJXUH.
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7KHWULDQJOHVJLYHQE\UHJLRQ,DQGUHJLRQ,,,DUHVLPLODUͼ௘YLD$$QRWLQJFRQJUXHQWFRUUHVSRQGLQJDQJOHV
DQGDVKDUHGDQJOH௘ͽZLWKVFDOHIDFWRUk 115 or^115 , depending on one’s perspective. Thus,
area I area IIarea I^ k^212125.
Algebra then gives the following.
121 area I 25 area I area II
121 area I 25 area I 25 area II
96 area I 25 area II.

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area IIarea I 9625.

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A model ship is built in the scale of 1:100.
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real ship?
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real ship?
F௘ͽ ,IWKHOHQJWKRIDPDVWRQWKHUHDOVKLSLVIHHWZKDWLVWKHOHQJWKRIWKHPDVWRQWKHPRGHO"
G௘ͽ ,IDZLQGRZRQWKHUHDOVKLSKDVDUHDVTXDUHIHHWZKDWLVWKHDUHDRIWKHPDWFKLQJZLQGRZ
on the model?

6


(^5) I II
Figure 24.2

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