SOLUTION: Hi, could someone please help with a word problem? The problem is: The hypotenuse of a right triangle is 5 m longer than one leg and 2 m longer than the other leg. Find the peri

Question 1022855: Hi, could someone please help with a word problem? The problem is: The hypotenuse of a right triangle is 5 m longer than one leg and 2 m longer than the other leg. Find the perimeter of the right triangle. Thank you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the length in meters of
the shorter leg
Let = the length in meters of
the longer leg
Let = the length in meters of
the hypotenuse
------------------
(1)
(2)
(3)
-----------------
(2)
and
(3)
----------------
Plug (2) and (3) into (1)
(1)
(1)
(1)
(1)
Complete the square:
(1)
(1)
(1)
(1)
Take the square root of both sides
( note that I don't use the negative square root
since that gives me a negative result for )
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
--------------------
The perimeter is:

----------
check:
(1)
(1 )
(1)
(1)
error due to rounding off
-----------------------

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