Posted by PLEASE HELP on Sunday, March 25, 2012 at 8:59pm.
shortest --- x
middle -----y
longest ----z
x+y+z= 52
" Twice the shortest side is 13 centimeters less than the longest side" ---> 2x < z by 13
2x + 13 = z
"The longest is 2 centimeters less than the sum of the other 2 sides" ---> z < x+y by 2
z = x+y - 2
y = z-x+2 = (2x+13) - x + 2
= x + 15
in the 1st:
x+y+z=52
x+(x+15) + (2x+13) = 52
4x = 52-28
x = 6 , then y = 21 and z = 25
The sides are 6, 21 and 25
is the sum equal to 52 ? 6+21+25 = 52 , YES
twice the shortest = 12
is 12 less than 25 by 13 ? , YES
longest = 25
2 less than the sum of the other two = 6+21-2 = 25 , YES
All is good
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