Pythagoras
Drag the coloured pieces over the correct dots.
1) What do you notice? 2) What does it tell us?
Move the red and green sliders and watch what happens to the Blue area.
What do you notice if you add the red area and the green area together?
Pythagoras Theorem
If we denote the sides a, b, and c we can say:
Red area = a
Green area = b
Blue area = c
We found previously that:
Red area + Green area = Blue area
So;
and this is Pythagoras theorem
What kind of triangles are the three used above?
Finding the long side
Pythagoras is used if you have two sides of a right angle triangle and you want to find the third side.
To find the longest side:
To find the short side:
or
If a = 4 and b =7, what is c
So then what would c be?
Finding a short side.
If c = 6.25 and b = 5.34, what is a
So then what would a be?
To practice finding the long side, complete this activity:
https://www.transum.org/software/SW/Starter_of_the_day/Students/Pythagoras_basics.asp?Level=1
To practice finding the short side, complete this activity:
https://www.transum.org/software/SW/Starter_of_the_day/Students/Pythagoras_basics.asp?Level=2