Question

ED has a midpoint at C.If CD=6+x and CE = 2x +1, what is the length of ED?5112210

Answer 1

Answer: Length of ED = 22

Since according to the question and the diagram drawn above, C is the midpoint of ED;

ED = 2CE = 2CD

CE = CD

6 + x = 2x + 1

6 - 1 = 2x - x

x = 5

CD = 6 + x = 6 + 5

CD = 11

CE = 2x + 1

CE = 2(5) + 1 = 10 + 1

CE = 11

Also note from the line drawn that ED = CE + CD

Therefore, ED = 11 + 11

ED = 22