Answer:
see the explanation
Step-by-step explanation:
we know that
If the triangular piece of sheet metal is a right triangle, then the side lengths must satisfy the Pythagorean Theorem
so
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (the greater side)
a and b are the legs of triangle
we have
[tex]c=205\ cm\\a=156\ cm\\b=133\ cm[/tex]
substitute
[tex]205^2=156^2+133^2[/tex]
[tex]42,025=24,336+17,689[/tex]
[tex]42,025=42,025[/tex] ----> is true
so
The side lengths satisfy the Pythagorean Theorem
therefore
The triangular piece of sheet metal is a right triangle
