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Name: Triangle ABC has AB=13 BC=14 and AC=15 Let P be the point on AC such t
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Description: Triangle ABC has AB=13 BC=14 and AC=15 Let P be the point on AC such that PC=10 There are exactly two points D and E on line BP such that quadrilaterals ABCD and ABCE are trapezoids. What is the distance DE?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 40E: Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible,...

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Triangle ABC has AB=13 BC=14 and AC=15 Let P be the point on AC such that PC=10 There are exactly two points D and E on line BP such that quadrilaterals ABCD and ABCE are trapezoids. What is the distance DE?

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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