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Pythagorean Theorem Tutorial :

Pythagorean Theorem Formula

$$\text{A}^2\;+\;\text{B}^2\;=\;\text{C}^2$$

  • A shows Perpendicular.
  • B shows Base.
  • C shows Hypotenuse.

Example-1 :

Find length of hypotenuse?If length of Perpendicular is 3 and Base is 4.

Solution :

$$\text{C}^2\;=\;\text{A}^2\;+\;\text{B}^2$$

$$\text{C}^2\;=\;3^2\;+\;4^2$$

$$\text{C}^2\;=\;9\;+\;16$$

$$\text{C}^2\;=\;25$$

$$\text{C}\;=\;5$$

Example-2 :

Find length of Base?If length of Perpendicular is 5 and Hypotenuse is 6.

Solution :

$$\text{C}^2\;=\;\text{A}^2\;+\;\text{B}^2$$

$$\text{6}^2\;=\;\text{5}^2\;+\;\text{B}^2$$

$$36\;=\;25\;+\;\text{B}^2$$

$$\text{B}^2\;=\;36\;-\;25$$

$$\text{B}^2\;=\;11$$

$$\text{B}\;=\;\sqrt{11}$$