The sides of the triangle are
and
.
Since the measure of the longest side is
, let
,
.
Find the lengths are right angle triangle or not.
\
(Pythagorean theorem)
(Substitute
and
.)
(Evaluate powers
and
)
(Addition:
)
Therefore, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
\
Yes, the segments with these measures form a right angle triangle.