Hello, njgrillo!

I'll try to explain thisI need help constructing three circles that are externally tangent to each other.

The circles are already given to me.

Two of the circles are already externally tangent.

I have to make the third circle externally tangent to both.without a diagram. . .

We have a circle with center and radius .

We have a circle with center and radius .

. . These are externally tangent.

We have a third circle with radius .

We want it to be externally tangent to both and .

Using as center, draw an arc with radius

Using as center, draw an arc with radius

. . intersecting the first arc at point

is the center of the third circle.

Using as center and as radius, draw the third circle.