Proof of Pythagorean Theorem for Grade 10 Mathematics

1. PYTHAGOREAN THEOREM
PROOF
Prepared by:
RICHARD B. PAULINO

2. Geometry
a
b
PYTHAGOREAN
THEOREM
a2
b2

4. a
b

5. a
b
a
a
a
b
b
b
(a+b)2 = a2 + 2ab + b2 ian
Area of the four triangles = 4( ½ ab) = 2ab
c2= a2 + b2

6. a
b
a
a
a
b
b
b
a-b
Area of the four triangles = 4( ½ ab) = 2ab
Area of small square=(a-b)2 = a2 - 2ab +
b2
c2= a2 + b2
a-b

7. b
cp
d
h
I
r
j
n

8. PYTHAGOREAN THEOREM
PROOF
THANK YOU !