Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 7 units and the length of AB is 5 unit What is the length, in units, of segment CD?
The first thing to notice is that the triangles are similar, and right triangles.
BC = 2sqrt(6)
ABC side ratios are
5 : 2sqrt(6) : 7
DAC side ratios are
? : 7 : x, where x = CD
Looking for x, 7/(2sqrt(6))*7 = 49sqrt(6)/12
I hope this helped. :)))