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

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
RELATED QUESTIONS
The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of... (answered by mathmate)

The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of... (answered by Shai)

route 95 runs from Maine to Florida along the east coast. From Houton, Maine to Miami,... (answered by TimothyLamb)

What is the velocity of a car traveling from east coast to the west coast at an average... (answered by Alan3354)

A train averages 48 miles per hour on a 3 day trip from the east coast to the west coast... (answered by josmiceli)

A train averages 48 miles per hour on a 3 day trip from the east coast to the west coast... (answered by fractalier)

Hello, I am not sure how to go about answering the following questions to come up with (answered by kingme18)

Jane is two times as far from the tree as Rico is. What is the approximate ration of... (answered by FrankM)

Two ocean liners leave from the same port in Puerto Rico at 10:00 a.m. One travels at a... (answered by Alan3354)