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An isosceles triangle is one in which two of the sides are the same length. The perimeter of an isosceles triangle is 35 cm. if th the length of the third

An isosceles triangle is one in which two of the sides are the same length. The perimeter of an isosceles triangle is 35 cm. if the length of the congruent sides is 3 times the length of the third side, find the dimensions of the triangle.
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3 Answers

perimeter of the isosceles triangle is 35 cm. 
 
let x be one of the congruent sides
therefore the third side is x/3
therefore
 
x + x + x/3 = 35 
7x/3 = 35
7x = 3 x 35
x = 3 x 35/7
x = 15 cm for each congruent side
third side = 15/3 = 5 cm.
 
3x+3x+x=7x=35
x=5
5,15,15
Let x=the length of the third (non-congruent) side.
 
x + 3x = 35
 
4x = 35
 
x = 35/4.  the other sides are (35-35/4)/2 = (105/8)