To Find : The type of the given quadrilateral.
Answer to Problem 30WE
The quadrilateral ZNKJ is trapezium.
Explanation of Solution
Given information:
Consider the triangle
Here angle E is obtuse.
Also, consider the bisector of
Therefore, the diagram will be as:
As EX is a bisector of angle E.
Therefore, according to the angle bisector theorem:
Also,
Since,
Therefore, it is obtained that
Further, consider two triangles
Here,
Therefore, they are similar triangle.
This is possible if and only if
Therefore, the quadrilateral ZNKJ is a trapezium.
Chapter 7 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics (13th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning