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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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Frank Y. | Frank, the Science/Math TeacherFrank, the Science/Math Teacher
4.8 4.8 (21 lesson ratings) (21)
0
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.
 
MANNY C. | 200+ Testimonials-Most Recommended Wyzant Tutor in USA.200+ Testimonials-Most Recommended Wyzan...
5.0 5.0 (1632 lesson ratings) (1632)
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3x+3x+x=7x=35
x=5
5,15,15
Thomas E. | Tom E., a Patient and Knowledgeable Mathematics Tutor for YouTom E., a Patient and Knowledgeable Math...
4.9 4.9 (341 lesson ratings) (341)
-1
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)