• ## Pythagorean Theorem

Slect side:
Side a :
Side b :
hypotenuse c =
› Select the side you want to calculate (a,b or c).
› Enter values for the sides a,b to calculate the hypotenuse c.

### Right Triangle

a2+b2=c2

• c= hypotenuse
• a|b→ the angle between a and b, is 900
• The side opposite the right angle is called the hypotenuse (side c in the figure)
• If the length of both a and b are known, then c can be calculated as
• c= a2+b2
• If the length of the hypotenuse c and of one side (a or b) are known, then the length of the other side can be calculated as
• a= c2-b2
• b= c2-a2
Pythagorean Theorem : The square of the hypotenuse c (the side opposite the right angle) is equal to the sum of the squares of the other two sides (a,b) . The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": a2+b2=c2

Notes :
› Hypotenuse c is always the longest side of the triangle ⇒ c>a και c>b
Attention : The above equation is valid Only in right triangle

a2+b2=c2c2>a2 και c2>b2
a,b,c>0 ⇒c>a & c>b

› The Pythagorean Theorem only works on right triangles, and by definition only right triangles can have a hypotenuse. If your triangle contains one angle that is exactly 90 degrees, it is a right triangle and you can proceed.

\