15 In an isosceles triangle, the length of each of the equal sides is 2 more than the length of the base.
If the ratio of the base to the perimeter of the triangle is 2.7, find the dimensions of the isosceles
triangle
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Let the measurement of base be x
then, the 2 bigger sides are = x+2 and x+2
then their perimeter sum of all sides is
= base + 2 sides
=X +( X + 2) +(X+2)
= 3x+4
perimeter is 3x+4
the ratio of base and perimeter is given 7:2 base= X and perimeter is 3x+4
according to their ratio we can write
7(x)=2(3x+4)
then 7x =6x+8
= 7x-6x=8
so , we found that x=8
then base = X = 8
and other sides=X+2 and X+2
= 10,10 then three sides are =8,10,10
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