SOLUTION: A triangle drawn on a map has sides of lengths 7 ​cm, 12 ​cm, and 14 cm. The shortest of the corresponding ​real-life distances is 112 km. Find the longest of the
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-> SOLUTION: A triangle drawn on a map has sides of lengths 7 ​cm, 12 ​cm, and 14 cm. The shortest of the corresponding ​real-life distances is 112 km. Find the longest of the
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Question 1105462: A triangle drawn on a map has sides of lengths 7 cm, 12 cm, and 14 cm. The shortest of the corresponding real-life distances is 112 km. Find the longest of the real-life distances. Round to the nearest tenth as needed. Answer by jim_thompson5910(35256) (Show Source):
c = longest distance on paper = 14 cm
d = longest distance in real life = x km
The corresponding sides form a proportion.
a/b = c/d
7/112 = 14/x ... plug in the values for a through d (see above)
7*x = 112*14 ... cross multiply
7x = 1568
7x/7 = 1568/7 ... divide both sides by 7
x = 224
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