CPM Homework Help : INT2 Problem 10-94

In the diagram at right, $⊙M$ has a radius of $14$ feet and $⊙A$ has a radius of $8$ feet. $\overleftrightarrow { E R }$ is tangent to both $⊙M$ and $⊙A$ . If $NC = 17$ feet, what is $ER$ ? Homework Help ✎

Hint:

Use the given information to find the length of the hypotenuse of $ΔMBA$ .

Hint 2:

How can you use the radius of each circle to determine the length of $MB$ ?

More Help:

Notice that the length of the dotted line is equivalent to $ER$ .

Answer:

$≈ 38.5$ feet

10_94 diagram