Points A and B lie in perpendicular planes and are connected by a segment d, the perpendiculars drawn

Points A and B lie in perpendicular planes and are connected by a segment d, the perpendiculars drawn from these points to the line of intersection are equal to a and b, find the distance between the bases of these perpendiculars.

Since points A and B lie on perpendicular planes, the perpendiculars drawn from these points in relation to the plane on which they lie intersect and form a right angle, the segment connecting points A and B lies opposite the right angle and is the hypotenuse of the resulting right-angled triangle, as well as the distance between the bases of these perpendiculars, you need to find the distance, that is, the length d.
We find by the Pythagorean theorem, d ^ 2 = a ^ 2 + b ^ 2
d = √ (a ^ 2 + b ^ 2)