How do you determine whether the given lengths are sides of a right triangle 20, 21, 29?

May 6, 2016

These lengths are that of a right triangle.

Explanation:

The longest length for a right triangle is always the hypotenuse. So by applying Pythagoras ${20}^{2} + {21}^{2}$ should give the same value as ${29}^{2}$ If this is not so then it is not a right triangle.

Consider ${20}^{2} + {21}^{2}$ gives $841$

Now compare this to ${29}^{2} = 841$

$\textcolor{b l u e}{\text{Conclusion: These lengths are that of a right triangle}}$