Given a circumscribed isosceles trapezoid ABCD about a circle with bases BC = 8 and AD = 12 units, determine the length of the segment joining the points of tangency on sides AB and CD.

A circle within,

Tangents touch trapezoid's sides,

Solve the distance now.

Vocabulary | Description |
---|---|

Isosceles Trapezoid | A trapezoid with a pair of opposite sides that are equal in length. |

Circumscribed | A figure that is drawn around another, touching it at points but not cutting it. |

Tangential trapezoid, also called a Circumscribed Trapezoid | A trapezoid whose four sides are all tangent to a circle within the trapezoid |

Circle | A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center). |

Bases (BC and AD) | The two parallel sides of the trapezoid. Here, BC = 8 units and AD = 12 units. |

Points of Tangency | The points where a circle touches a line or another circle. |

Segment Joining Points of Tangency | The length of the segment connecting the points where the circle touches sides AB and CD of the trapezoid. |

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