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Example:Construct Quadrilateral given 3 Sides & 2 Angles

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Quadrilateral

 

Quadrilateral


Six different types of quadrilaterals

Edges and Vertices

4

 

In Euclidean plane geometry, a quadrilateral is a polygon with four sides (or 'edges') and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on. The word quadrilateral is made of the words quad (meaning "four") and lateral (meaning "of sides").

Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.

The interior angles of a simple quadrilateral add up to 360 degrees of arc.

 

http://en.wikipedia.org/wiki/Quadrilateral

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.

 

(Our solved example in mathguru.com also uses the below concept. This is our own explanation, it is not taken from Wikipedia.)

 

To construct a quadrilateral when 3 sides( x units, y units and z units) and 2 included angles are known

 

       Draw a line segment AB = x units.

       Make angles of 60and 90at A and B respectively.

       With B as the centre and radius 4.5 units, we make an arc on the ray BX.

       With A as the centre and radius 4 cm we make an arc on the ray AY.

       Join the points D and C to obtain the required quadrilateral.

       Obtain the required D and C to obtain the required Quadrilateral ABCD.