Divide an isosceles triangle with an non equal angle of $45$ degrees triangle into $3$ parts

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the three parts can be turned, and are called $a, b \text{ and }c$, and part $a$ can form an isosceles triangle with part $b$, part $c$ with $b$, and $a$ with $c$, without leaving any hole or superposition

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i already solved it so i will answer myself

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the drawing is not exact because i made it with paint, but it makes sense on paper, notice that the triangle A with B is isosceles, B with C is also isosceles and B is equal to C so A can form an isosceles triangle with C if C is rotated