Skip Navigation Links
   
Geometry Area of Two Similar Triangle
To enroll in any of our courses, click here
 
   
Area of Two Similar Triangle
To find the ratio of the areas of similar triangles, just square the similarity ratio. The ratio of the perimeters on the other hand equals the similarity ratio.
People who saw this lesson also found the
following lessons useful:
Selection of Terms In an A.P.
Common Tangents of Two Circles
Angles In Alternate Segments
Solving a System of Equations
Pythagoras Theorem
Example: Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.
Solution: A square ABCD. Equilateral triangles BCE and ACF have been described on side BC and diagonal AC respectively.         ...[Given]
You have to Prove: Area (BCE) = 1/2. Area (ACF)
Since BCE and ACF are equilateral.
There­fore, they are equiangular (each angle being equal to 60)
and hence
BCE ~ ACF.
Area of (BCE) / Area of (ACF) = BC2 / AC2
Area of (BCE) / Area of (ACF) = BC2 / (2 BC)2
Area of (BCE) / Area of (ACF) = 1/2
 
   
As many of you know, Winpossible's online courses use a unique teaching method where an instructor explains the concepts in any given area to you in his/her own voice and handwriting, just like you see your teacher explain things to you on a blackboard in your classroom. All our courses include teacher's instruction, practice questions as well as end-of-lesson quizzes for practice. You can enroll in any of our online courses by clicking here.

The format of Winpossible's online courses is also very suitable for teachers who are using an interactive whiteboard such as Smartboard on Promethean in their classrooms, because the course lessons can be easily displayed on such interactive whiteboards. Volume pricing is available for schools interested in our online courses. For more information, please contact us at educators@winpossible.com.

 
       
     
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version