SOLUTION: One side of a triangle is half the longest side. The third side is 12 feet less than the longest side. The perimeter is 53 feet. Find all three sides. Thanks Michael

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Question 835561: One side of a triangle is half the longest side. The third side is 12 feet less than the longest side. The perimeter is 53 feet. Find all three sides.
Thanks Michael

Answer by hovuquocan1997(83) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first side be x, the third side be y, and the longest side be z
so you have the first side is half the longest side ==> x+=+z%2F2
then you have the third side is 12 feet less than the longest side => y+=+z+-12
Then you have x + y + z = 53 because 53 is the perimeter
that means +z%2F2+%2B+z+-+12+%2B+z+=+53
z%2F2+%2B+2z+=+65
z+%2B+4z+=+130
5z+=+130
z+=+26
So now you have z = 26
x+=+z%2F2+=+26%2F2+=+13
y+=+z+-+12+=+26+-+12+=+14
SO there are your three sides
TA-DAH
:D