Inside the right angle, a point is taken at a distance of 12 cm and 16 cm from its edges.

Inside the right angle, a point is taken at a distance of 12 cm and 16 cm from its edges. Find the distance of this point from its edge.

From point A, draw the perpendicular AC to the plane СBК and the perpendicular AD to the plane DBK.

From points C and D, draw perpendiculars CB and DB to the edge KM of the right angle.

The resulting quadrangle ACBD is a rectangle, and the required distance AB is its diagonal.

Then, by the Pythagorean theorem, AB ^ 2 = AD ^ 2 + BD ^ 2 = 144 + 256 = 400.

AB = 20 cm.

Answer: From point A to the edge of a right angle 20 cm.