Question 269601: Two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 22m. What are the lengths of the three sides?
Found 3 solutions by scott8148, ninadbhat, palanisamy:
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! "Two sides of a triangle have the same length" ___ 2x
"The third side measures 2m less than twice the common length" ___ 2x - 2
"The perimeter of the triangle is 22m" ___ 2x + 2x - 2 = 22
4x - 2 = 22 ___ x = 6
2x - 2 = 10
the sides are 6, 6 ,and 10
Answer by ninadbhat(3)  (Show Source):
You can put this solution on YOUR website! Let x be the length of the common side. Then, the length of the third side is 2x-2 because it is 2 meters less than twice the common side. Therefore you get
x+x+(2x-2)=22
2x+2x-2=22
4x=24
x=6
Then, by substitution
2(6)-2=?
12-2=10
Thus, the length of the common side is 6 and the length of the third side is 10.
CHECK:
6+6+10=22(?)
22=22 True
Answer by palanisamy(496) (Show Source):
You can put this solution on YOUR website! Let the side of a triangle be = x
Then,the second side of the triangle = x
And the third side of the triangle = 2x-2
Perimeter is x+x+2x-2 = 22
4x=24
x=6
So the sides are 6,6,10
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