 Top

Pythagorean Theorem Calculator
Top
 Pythagorean Theorem Calculator (or Pythagoras Theorem Calculator) is a online tool to find length of base, height and hypotenuse of right angle triangle. It is a tool which makes calculations easy and fun. If length of any two side of right angle triangle is given then it can find the length of third side of right angle triangle according to Pythagoras theorem. ## Steps for Pythagoras Theorem

Step 1 :

Use pythagorean theorem = (Hypotenuse)2 = (Base)2 + (Perpendicular)2 to find the answer

Step 2 :

Alternative  formula to find  Hypotenuse,Base,Perpendicular..

Hypotenuse =$\sqrt{(Base)^{2} + (Perpendicular)^{2}}$

Base = $\sqrt{(Hypotenuse)^{2} - (Perpendicular)^{2}}$

Perpendicular = $\sqrt{(Hypotenuse)^{2} - (Base)^{2}}$

## Examples on Pythagoras Theorem

1. ### In a right triangle, if the base is 6 cm and the perpendicular is 8 cm. Find the length of the hypotenuse of the triangle?

Step 1 :

Length of the perpendicular = 6cm

Length of the hypotenuse = ?

Hypotenuse =$\sqrt{(Base)^{2} + (Perpendicular)^{2}}$

So this will be =$\sqrt{((6)^{2} + (8)^2)}$= $\sqrt{36+64}$ = √(100) = 10

Hypotenuse = 10 cm

2. ### In a right triangle, if the base is 3 cm and the perpendicular is 4 cm. Find the length of the hypotenuse of the triangle?

Step 1 :

We know Pythagorean theorem states that:(Hypotenuse)2 = (Base)2 + (Perpendicular)2