Question

DFE is 90 FG is perpendi cular to ED .If GD=8 FG=12then find EG, FD, EF.

Answer 1

Thus, the perpendicular AC divides right triangle ABD into two similar triangles ACB and DCA (which are also similar to big triangle ABD). Now, in these three triangles the ratio of the corresponding sides will be equal (corresponding sides are the sides opposite the same angles marked with red and blue on the diagram). 

So, CDAC=ACBCCDAC=ACBC --> CD4=43CD4=43 --> CD=163CD=163.