SOLUTION: A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine

Algebra ->  Triangles -> SOLUTION: A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine       Log On


   

Question 897238: A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine the length of each side of the triangle.
Answer by lwsshak3(11628) About Me  (Show Source):
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A base of an isosceles triangle is 2x+y units and the legs of the triangle are 3x and 4y units. The perimeter of the triangle is 70 units. Find the values of x and y and determine the length of each side of the triangle.
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base+2legs=perimeter
2x+y+3x+4y=70
3x=4y (legs of isosceles triangles are equal to each other)
y=3x/4
2x%2B3x%2F4%2B3x%2B4%283x%2F4%29=70
3x%2F4%2B5x%2B3x=70
3x%2F4%2B8x=70
lcd=4
3x+32x=280
35x=280
x=8
y=3x/4=6
length of each side of the triangle=3x=4y=24 units