PYTHAGORAS THEOREM

1
PYTHAGORAS THEOREM
In a right angled triangle the square of the
hypotenuse
is equal to the sum of the squares of the other
2 sides.
A powerpoint presentation by Carmelo Ellul Head
of Department (Mathematics)
HYPOTENUSE
AB2 AC2 CB2
2
PYTHAGORAS THEOREM
AB2 AC2 CB2
52 32 42
25 9 16
5 cm
3 cm
4 cm
3
PYTHAGORAS THEOREM
Problem 1 Finding the length of the hypotenuse
4
PYTHAGORAS THEOREM
By Pythagoras AB2 AC2 CB2
AB2 52 122
AB2 25 144
AB2 169
AB
AB 13 cm
5
PYTHAGORAS THEOREM
By Pythagoras AB2 AC2 CB2
AB2 52 122
AB2 25 144
AB2 169
PROBLEM 2
RESTART
AB
END SHOW
AB 13 cm
6
PYTHAGORAS THEOREM
Problem 2 Finding the length of one of the
smaller sides
7
PYTHAGORAS THEOREM
By Pythagoras PQ2 PR2 RQ2
102 52 RQ2
100 25 RQ2
100 - 25 RQ2
75 RQ2
RQ
RQ 8.660... cm 8.7 cm
8
PYTHAGORAS THEOREM
By Pythagoras PQ2 PR2 RQ2
102 52 RQ2
100 25 RQ2
100 - 25 RQ2
PROBLEM 1
75 RQ2
RESTART
RQ
END SHOW
RQ 8.660... cm 8.7 cm