Question

If You KNOW This Please Help Me. : (

Answer 1

• x = 4
• CD = 12

Explanation:

Given

Line segment AE, where:

• Point C is midpoint of AE
• Point D is midpoint of CE
• AC = 24
• CD = 3x

To find

• x = ?
• CD = ?

Solution

As per segment addition postulate

• AC= CE and
• CD = DE
• CE = CD*2 = 3x*2 = 6x

Then, substituting values of AC and CE

• 24 = 6x
• x = 24/6
• x = 4

And finding the value of CD

• CD = 3x = 3*4 = 12