Bridgette has drawn a representation of a sphere with a radius of 3 units, using the graphs of a circle and an ellipse, as shown in the picture below on the left. She needs to determine the equations of the graphs that will generate the representation of the 3D sphere, as shown in the picture below on the right.

What are possible equations of the circle and ellipse that Bridgette can use to create her 3D drawing?

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.