Math, asked by uunangia8102, 11 months ago

How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?

Answers

Answered by amitnrw
11

Given :  Image of Distance between Aurora to Clifton and Aurora to Burlington

To find : How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

Solution:

Aurora to Clifton = 97 Miles

Aurora to Burlington = 65 miles

(Burlington  to Clifton )² = (Aurora to Clifton)² - ( Aurora to Burlington)²

=> (Burlington  to Clifton )² = 97² - 65²

=>  (Burlington  to Clifton )² = (97 + 65)(97 - 65)

=> (Burlington  to Clifton )² =162 * 32

=> (Burlington  to Clifton )² =9² * 2 * 4² * 2

=>  (Burlington  to Clifton )² =9² * 2² * 4²

=>  (Burlington  to Clifton )² =72²

Burlington  to Clifton  =72  Miles

Aurora to Clifton directly = 97 Miles

Aurora to Clifton through Burlington  = 65 + 72 = 137 Miles

137 -97  = 40 miles

it is 40 miles closer   to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

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