The rightangle triangle lenghts are .
The longest side is , hence
, it is measure of the hypotenuse.
Let and
be the lengths of the two shorter sides.
Here, and
.
The Pythagorean theorem states that .
Then .
Check the values.
\ (Pythagorean theorem)
(Substitute
,
and
)
(Evaluate powers:
and
)
(Add:
)
Thus, the lengths form a right triangle.
The lengths form a right triangle.