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Pythagorean Theorem Calculator with Steps


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Pythagoras Theorem Formula

In a right angled triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Suppose right triangle with sides a and b and hypotenuse c then

c2 = a2 + b2

Or c = √(a2 + b2)   Or a = √(c2 - b2)    Or b = √(c2 + a2)

right-tring

Definition & Examples :

The Pythagorean Theorem is a fundamental rule in geometry that describes the relationship between the three sides of a right-angled triangle. It states that the square of the longest side (the hypotenuse) is exactly equal to the sum of the squares of the other two sides.

The formula for hypotenuse 
c =  √(a2 + b2)

pythagoras theorem

1. Find the hypotenuse where two sides a = 4 and b = 3.
= √(42 + 32)
= √(4X4 + 3x3)
= √(16 + 9)
= √(25)
=5

2. Find the hypotenuse where two sides a = 6 cm and b = 8 cm.

The formula for hypotenuse c = √(a2 + b2)

= √(62 + 82)

= √(6X6 + 8x8)

= √(36 + 64)

= √(100)

=10 cm