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Pythagoras Theorem Calculator with examples


Please select the side you wants to calculate and enter the value of other two sides.

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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

Examples :

1. 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

2. Find the hypotenuse where two sides a = 4 and b = 3.

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

= √(42 + 32)

= √(4X4 + 3x3)

= √(16 + 9)

= √(25)

> =5

pythagoras theorem