If the line segments a, ∠ a are known, find out the triangle ABC so that ∠ C = 90 °, AC = a, ∠ a = ∠ A. when drawing with ruler and gauge, trace is needed and urgent Be careful

If the line segments a, ∠ a are known, find out the triangle ABC so that ∠ C = 90 °, AC = a, ∠ a = ∠ A. when drawing with ruler and gauge, trace is needed and urgent Be careful

(1) Make AC edge: make ray am, take a as the center of the circle, take a length as the radius, draw an arc, and intersect with ray at point C
(2) Right angle through C: draw an arc with C as the center and the same length as the radius, and intersect with the ray at a point n different from a
Take a and N as the center of the circle respectively, take the length greater than AC as the radius to draw the arc, and the two arcs intersect at point P to make the ray CP
(3) Let a be a given angle
Draw an arc with the vertex of ∠ a as the center of the circle and intersect both sides of ∠ a at D and E
Take a as the center of the circle, draw an arc with the same length as the radius, and intersect with ray am at point Q
Take Q as the center of the circle, take de length as the radius, draw an arc, intersect with the arc above at point F, and make a ray AF
The intersection of AF and ray CP is point B