Skip Navigation Links
   
Pythagoras Theorem
To enroll in any of our courses, click here
 
   
Pythagoras theorem   
In a right angled triangle the square of the longest side is equal to the sum of the squares of the other two sides.
The longest side of the triangle is called the "hypotenuse".
In algebraic terms, we can write a2 + b2 = c2, where c is the hypotenuse while a and b are two other sides of the triangle.
People who saw this lesson also found the
following lessons useful:
Problems on Age
Word Problems of Linear Equations
Determine whether an Equation is Identity or not
Heights and Distances
Rational Expressions in Lowest terms
Example: In Fig.,ABC is a right triangle, right angled at B. AD and CE are the two medians drawn from A and C respectively. If AC = 5 cm and AD = (35)/2 cm, find the length of CE.
Solution: Since ABD is a right triangle, right angled at B. Therefore,
AD2 = AB2 + BD2
AD2 = AB2 + (BC/2)2
AD2 = AB2 + (1/4)BC2........(i)
Again, BCE is right triangle, right angled at B
CE2 = BC2 + BE2
CE2 = BC2 + (AB/2)2
CE2 = BC2 + (1/4)AB2.........(ii)
adding Equations (i) and (ii) you get
AD2 + CE2 = AB2 + 1/4BC2 + BC2 + 1/4AB2
AD2 + CE2 = 5/4(AB2 + BC2)
AD2 + CE2 = 5/4(AC2)  [ ABC is right triangle AC2 = AB2 + BC2 ]
(35/2)2 + CE2 = 5/4 * 25
CE2 = 125/4 - 45/4
CE = 20 cm= 25 cm
 
 
   
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