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Depends from the given information.

For example, if it is given the measure of the angle base θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to

2a = b/cos θ

If it is given the measure of the angle base θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to

2a = 2h/sin θ

If it is given the measure of the vertex angle θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to

2a = b/sin θ/2

If it is given the measure of the vertex angle θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to

2a = 2h/cos θ/2

If it is given the length measures of the base b and the height h, the sum of the sides a of the isosceles triangle equals to

2a = √(h4 + b2) (from the Pythagorean theorem)

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