Pythagoras Theorem Calculator
Use this calculator to find the hypotenuse of a right triangle when you know the two legs.
In the diagram, the legs are a and b, and the hypotenuse is c.
Step-by-step method
- Identify what is given.
- Write the formula.
- Substitute the values and solve for c.
Formula:
Example 1: a = 3.00, b = 4.00
Step 1 - Identify what is given.
In this problem: The given side lengths are a = 3.00 and b = 4.00.
Step 2 - Write the formula.
In this problem: Use the Pythagoras theorem formula: c = √(a² + b²).
Step 3 - Substitute the values and solve for c.
In this problem: Substitute a = 3.00 and b = 4.00: c = √(3.00² + 4.00²) = √(25.00) = 5.00.
Final answer: c = 5.00
Example 2: a = 5.00, b = 12.00
Step 1 - Identify what is given.
In this problem: The given side lengths are a = 5.00 and b = 12.00.
Step 2 - Write the formula.
In this problem: Use the Pythagoras theorem formula: c = √(a² + b²).
Step 3 - Substitute the values and solve for c.
In this problem: Substitute a = 5.00 and b = 12.00: c = √(5.00² + 12.00²) = √(169.00) = 13.00.
Final answer: c = 13.00
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