Just 2 angles and 1 side tell you the whole triangle
It doesn't need to be a right triangle. When you know angle-angle-side, use the law of sines; when you know side-angle-side, use the law of cosines — either way, you can find every remaining side and angle. Change the triangle with sliders and see how both laws work.
Set angle A, angle B, and side a (the side opposite angle A), and the triangle is completely determined. Use the law of sines a/sinA = b/sinB = c/sinC = 2R to find the remaining sides and even the radius R of the circumscribed circle.
Angle A50°
Angle B70°
Side a (opposite angle A)8
Set side a, side b, and the included angle C between them, and the triangle is completely determined. Use the law of cosines c² = a² + b² − 2ab·cosC to find the remaining side c.