Question

c is the midpoint of $overline{bd}$. if $cd = x + 3$ and $bd = 5x + 3$, what is $bd?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since C is mid - point of BD, BD = 2CD. So, $5x + 3=2(x + 3)$.

Step2: Solve the equation

$5x+3 = 2x+6$, $5x - 2x=6 - 3$, $3x = 3$, $x = 1$.

Step3: Find BD

Substitute $x = 1$ into $BD=5x + 3$, $BD=5\times1+3=8$.

Answer:

8