SOLUTION: bermuda triangle is an area of water located off the east coast of United states extending from florida to puerto rico. if its perimeter is 5,500 kilometers, find the lengths of th
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Question 490893: bermuda triangle is an area of water located off the east coast of United states extending from florida to puerto rico. if its perimeter is 5,500 kilometers, find the lengths of the three sides if the shortest side measures 134 kilometers less than the second side, and the longest side measures 670 kilometers more than the second side. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! bermuda triangle is an area of water located off the east coast of United states extending from florida to puerto rico.
:
Write an equation for each statement:
:
its perimeter is 5,500 kilometers,
a + b + c = 5500
;
the shortest side measures 134 kilometers less than the second side,
c = b - 134
:
the longest side measures 670 kilometers more than the second side.
a = b + 670
:
find the lengths of the three sides
replace a and c using the above information
(b+670) + b + (b-134) = 5500
3b + 670 - 134 = 5500
3b + 536 = 5500
3b = 5500 - 536
3b = 4964
b =
b = 1654 km is the 2nd side
find the 1st side
a = 1654 + 670
a = 2324 km is the 1st side
and
c = 1654 - 134
c = 1520 km is the 3rd side
;
:
You can check this by adding up these three sides and ensure that the sum is 5500
