[Math] Calculate the length of the sides of a triangle from the area and the angle

trianglestrigonometry

I need to find the length of the sides of a triangle. I have an angle and the area of the triangle.

I have the answer but I don't know how to figure it out so it doesn't help.

The area of the triangle is 18cm2 – the angle is 23 degrees.

Can someone explain how I can use the area and the angle to calculate the length of the sides?

Thanks

Not enough informations. Assume that $\widehat{ABC}=\widehat{A'B'C'}$ and $AB\cdot BC = A'B'\cdot B'C'$.

Then the triangles $ABC, A'B'C'$ have the same area and share an angle, but they are not necessarily congruent:

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