Question

Applying the Geometric Mean (Altitude)Theorem. What is the value of k? ** i know the answer, but i want to know how to get it please :)

Answer 1

To solve this problem you must apply the proccedure shown below:

1. By applying the Geometric Mean (Altitude)Theorem, you have:

$\frac{NO}{OM} =\frac{LO}{NO} \\ NO=4\\ OM=k\\ LO=8$

2. When you substitute values,and you solve for $k$, you obtain:

$\frac{4}{k} =\frac{8}{4}\\ 8k=16\\ k=2$

The answer is: $k=2$