Question

What is the length of CD in this diagram, ABC - EDC,

Answer 1

4

Option A is the right option.

solution,

∆ABC~∆EDC

`(bc)/(cd) = (ac)/(ec) \\ \:`

putting the values,

`(20 - x)/(x) = (20)/(5) \\ or \: 5(20 - x) = 20x(cross \: multiplication) \\ or \: 100 - 5x = 20x \\ or \: - 5x - 20x = - 100 \\ or \: \: - 25x = - 100 \\ \: or \: x = ( - 100)/( - 25) \\ x = 4`

Hope this helps..

Good luck on your assignment..