Question

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

Answer 1

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`

`color(blue)("Conclusion: These lengths are that of a right triangle")`