Question

#4. Find the value of x and use it to find the length of
CE, BD, and BE
Find BD.

Answer 1

• x = 8
• 12 = BD
• 23 = BE
• 13 = CE

Explanation:

We know that:

• BD = 2x - 4
• DE = 2x - 3 - 2
• BE = 3x - 1
• CE = 2x - 3

Solution:

• (2x - 4) + (2x - 3 - 2) = 3x - 1
• => 2x - 4 + 2x - 3 - 2 = 3x - 1
• => 4x - 9 = 3x - 1
• => 4x - 3x = 9 - 1
• => x = 8
• => 2x - 4 = BD
• => 2(8) - 4 = BD
• => 16 - 4 = BD
• => 12 = BD
• => 3x - 1 = BE
• => 3(8) - 1 = BE
• => 24 - 1 = BE
• => 23 = BE
• => 2x - 3 = CE
• => 2(8) - 3 = CE
• => 16 - 3 = CE
• => 13 = CE

Hence, the answers are:

• x = 8
• 12 = BD
• 23 = BE
• 13 = CE