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Pythagoras length hypotenuse

Solve Pythagoras equation for a hypotenuse

This math skill demonstrates how to calculate the length of a hypotenuse in a right triangle using Pythagoras' theorem, which states that the sum of the squares of the two shorter sides equals the square of the hypotenuse.

Learn Pythagoras length hypotenuse

Teaching Transcript

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Let's find the length of the hypotenuse on this right triangle

Pythagoras tells us that 'A' squared plus 'B' squared = 'C' squared where 'C' is the hypotenuse

So we know that 3 squared plus 4 squared equals 'C' squared

So 'C' squared is 16 + 9, or 15

So 'C' is the square root of 25, which would be 5

Skill Practice

Solve Pythagoras equation for a hypotenuse

Test your understanding of Pythagoras length hypotenuse by practicing it! Work through the below exercises to use it in practice.