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.