Answer:
The sides of the triangle are:
2.8 cm, 5.6 cm,5.6 cm.
Explanation:
The perimeter of an isosceles triangle is given=14 cm.
Now in an isosceles triangle the length of two sides are equal and the third side is unequal.
Now,it is given that:
One of its sides is twice longer than another of its sides.
As we know that in any triangle with sides lengths a,b and c must hold that:
a<b+c and b<a+c and c<b+a
So, the equal sides are '2x 'and the unequal side is 'x'.
Hence, as we are given the perimeter of the triangle that means:
x+2x+2x=14
5x=14
x=14/5=2.8 cm.
So, the sides of the triangle are:
2.8 cm, 5.6 cm,5.6 cm.