Question

Using the Pythagorean Theorem, could 20, 6 and 21 be the measures of the sides of a right triangle? Assume that the largest is the hypotenuse.

Answer 1

No

Explanation:

By the pythagorean theoren,

`c^2 = a^2 + b^2`

`=> 21^2 ? 6^2 + 20^2`

`=> 441 ? 36 + 400`

`=> 441 != 436`

Also, there is no need to assume that the hypotenuse is the longest side of a triangle. This is always true