Question 3 Verify your calculations in Question 2 by displaying the lengths AD and AC in GeoGebra. Then select point B and move it around to different locations. As point B moves, the side lengths of the triangles change; however, notice that ∆ABC continues to comprise two right triangles.

Record the side lengths in the table for four different positions of point B. (Complete both parts of the table for each position of B: the value of BD will be the same in the corresponding rows of both parts of the table.) Use the Pythagorean Theorem to verify the values of AD and DC by filling in and comparing the last two columns in the table.