 Hi and welcome to the session. Let us discuss the following question which says in figure ad is equal to 4 centimeters, bd is equal to 3 centimeters and cb is equal to 12 centimeters. Find cot theta. Before moving on to the solution let's recall that for any angle theta cot theta is given by base upon perpendicular. This is the key idea that we will use for this question. Now let's move on to its solution. First of all let us see what is given to us in the question. We are given that ad is equal to 4 centimeters, bd is equal to 3 centimeters, cb is equal to 12 centimeters and we need to find cot theta. Angle acb is given to be theta, angle abc is a right angle and angle adb is also a right angle. So that means triangle abc and triangle adb are right angle to triangles. So first of all consider the right angle to triangle adb. So in right triangle adb, angle adb is a right angle that means ab is the hypotenuse. So we have ab square is equal to ad square plus bd square by Pythagoras theorem. Now let us substitute the values of ad and bd. So this implies ab square is equal to ad square that is 4 square plus bd square that is 3 square centimeter square which is equal to 16 plus 9 centimeter square that is 25 centimeter square. Thus ab will be equal to 5 centimeters. So here we have ab equal to 5 centimeters. Now consider the triangle abc. So in right triangle abc we know that cot theta is equal to base upon perpendicular. So that means here cot theta will be equal to base that is vc upon perpendicular that is ab. Which will be equal to 12 upon 5. Thus cot theta is equal to 12 upon 5 is the required answer to this question. With this we finished this session hope you must have understood the question. Goodbye take care and have a nice day.