Question

in the figure below, o is between m and p, and n is the midpoint of $overline{mo}$. if $np = 7$ and $no = 5$, find mp.

$mp = $

Explanation:

Step1: Find length of MO

Since N is the mid - point of MO and NO = 5, then MO=2×NO. So, MO = 2×5=10.

Step2: Find length of MP

We know that MP=MO + OP. Also, OP=NP - NO. Given NP = 7 and NO = 5, then OP=7 - 5 = 2. Since MO = 10, then MP=MO+OP=10 + 2=12.

Answer:

12