SOLUTION: An isosceles triangle has two sides of equal length. The length of the third side is 1 ft less than twice the length of one of the equal sides. Find the length of each side when th

Question 943915: An isosceles triangle has two sides of equal length. The length of the third side is 1 ft less than twice the length of one of the equal sides. Find the length of each side when the perimeter is 24 ft.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=side of equal length; X=Other side=2L-1
Perimeter=L+L+X=L+L+2L-1=24 ft
4L-1=24 ft
4L=25 ft
L=25/4 ft ANSWER Sides of equal length are 25/4 ft long=6.25 ft
X=2L-1=2(6.25)-1=12.5-1=11.5 ft ANSWER the other side is 11.5 ft
CHECK:
Perimeter =L+L+X=24 feet
6.25 ft+6.25 ft+11.5 ft=24 feet
24 feet=24 feet

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