SOLUTION: Two sides of a triangle have the same length. The third side measures 4 m less than twice that length. The perimeter of the traiangle is 24 m. Find the lengths of the 3 sides.

Algebra ->  Triangles -> SOLUTION: Two sides of a triangle have the same length. The third side measures 4 m less than twice that length. The perimeter of the traiangle is 24 m. Find the lengths of the 3 sides.      Log On


   



Question 263396: Two sides of a triangle have the same length. The third side measures 4 m less than twice that length. The perimeter of the traiangle is 24 m. Find the lengths of the 3 sides.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the length of each equal side and then 2x - 4 is the length of the base.
p = a + b + c
24 = a + b + c
24+=+x+%2B+x+%2B+2x+-+4
step 1 - combine like terms to get
24+=+4x+-+4
step 2 - add 4 to get
28+=+4x
step 3 - divide by 4 to get
x+=+7
the three sides are
{7, 7, 10}