SOLUTION: Two internal tangents of two non-overlapping circles with radii 2 cm and 4 cm intersect at right angles. What is the distance between the centers of the circles?

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Question 1053833: Two internal tangents of two non-overlapping circles with radii 2 cm and 4 cm intersect at right angles. What is the distance between the centers of the circles?
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Two internal tangents of two non-overlapping circles with radii 2 cm and 4 cm intersect at right angles.
What is the distance between the centers of the circles?
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2%2Asqrt%282%29+%2B+4%2Asqrt%282%29 = 6%2Asqrt%282%29.

For the Figure, see the lesson
    - HOW TO construct a common interior tangent line to two circles
in this site, or, which is even better, make your own sketch.

My theory lessons in this site on circles, their chords, secant and tangent lines are
    - A circle, its chords, tangent and secant lines - the major definitions
    - The longer is the chord the larger its central angle is
    - The chords of a circle and the radii perpendicular to the chords
    - A tangent line to a circle is perpendicular to the radius drawn to the tangent point
    - An inscribed angle in a circle
    - Two parallel secants to a circle cut off congruent arcs
    - The angle between two chords intersecting inside a circle
    - The angle between two secants intersecting outside a circle
    - The angle between a chord and a tangent line to a circle
    - Tangent segments to a circle from a point outside the circle
    - The converse theorem on inscribed angles
    - The parts of chords that intersect inside a circle
    - Metric relations for secants intersecting outside a circle
    - Metric relations for a tangent and a secant lines released from a point outside a circle
    - Quadrilateral inscribed in a circle
    - Quadrilateral circumscribed about a circle

My lessons on solved problems for circles, their chords, secant and tangent lines are
    - HOW TO bisect an arc in a circle using a compass and a ruler
    - HOW TO find the center of a circle given by two chords
    - Solved problems on a radius and a tangent line to a circle
    - Solved problems on inscribed angles
    - A property of the angles of a quadrilateral inscribed in a circle
    - An isosceles trapezoid can be inscribed in a circle
    - HOW TO construct a tangent line to a circle at a given point on the circle
    - HOW TO construct a tangent line to a circle through a given point outside the circle
    - HOW TO construct a common exterior tangent line to two circles
    - HOW TO construct a common interior tangent line to two circles
    - Solved problems on chords that intersect within a circle
    - Solved problems on secants that intersect outside a circle
    - Solved problems on a tangent and a secant lines released from a point outside a circle
    - Solved problems on tangent lines released from a point outside a circle
under the topic  Geometry  of the section  Word problems.

You have this free of charge online textbook on Geometry
    - GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this textbook under the topic "Properties of circles, inscribed angles, chords, secants and tangents ".