Jordan measures the side lengths of a triangular piece of sheet metal. The side lengths are 156 cm, 133cm, and 205 cm. Verify that the triangular piece of sheet metal is a right triangle. (this problem involves polynomial identities)Please help as soon as possible, thank you!!
Accepted Solution
A:
Answer:see the explanationStep-by-step explanation:we know thatIf the triangular piece of sheet metal is a right triangle, then the side lengths must satisfy the Pythagorean Theoremso[tex]c^2=a^2+b^2[/tex]wherec is the hypotenuse (the greater side)a and b are the legs of trianglewe 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 truesoThe side lengths satisfy the Pythagorean TheoremthereforeThe triangular piece of sheet metal is a right triangle