Question

In the figure above. if AC = CE and B is the midpoint of AC , CD= 2 and AB = 3. Find the following: BC AC and DE

Answer 1

BC = 3

AC = 6

DE = 4

Step-by-step explanation:

Given that B is the midpoint of AC, this means that AB and BC are equal.

Since AB = 3, BC = 3

AC = AB + BC

= 3 + 3

AC = 6

AC is equivalent to CE

Since AC = 6

CE = 6

But CE = CD + DE

Given CD = 2

CE = 2 + DE

6 = 2 + DE

Subtract 2 from both sides

6 - 2 = 2 + DE - 2

DE = 4