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Geometric Structure Patterns and Dimensions : Triangle & Square ?

Find the angle of Triangle, Equilateral Triangle, Right Triangle, Quadrilaterals

In Geometry, every structure has particular dimensions like length of the side, angle etc. These dimensions create patterns and relationships which in fact gives us more information about a particular geometric figure. Let the geometric structure be any shape like a triangle or a quadrilateral, below are some of the rules shown.

Triangles:

patterns and relationships

Equilateral triangle: All sides and angles are equal. So let each angle be x°, then applying the above formula we get,

                                  find the angle of triangle

Right triangle: In a right triangle, Pythagorean Theorem is usually used in order to find their respective sides.

 

Example: In a right triangle ABC, find the hypotenuse AC given AB=3, BC=5.

According to Pythagorean Theorem,

              AB2+BC2=AC2

So, 32+42 = AC2

->   AC2 = 25  -> AC=√25

              AC=5

Quadrilaterals:

Example: Given a square, what is the measure of each angle?

Since all the angles in a square are equal,

      x+x+x+x=360°

->   4x=360° ->  x = 360°/4

 -> x=90°

 

You can also Read our other blog Properties Of Quadratic Functions

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