State if the three sies lengths form a right triangle ; 10 cm , 49.5 cm , 50.5 cm

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Question:

state if the three sies lengths form a right triangle ; 10 cm , 49.5 cm , 50.5 cm

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Well, 10<49.5+50.5, 49.5<10+50.5 and 50.5<10+49.5Because these conditions are obeyed, you have a triangle.A right triangle requires that [tex]50.5^2=10^2+49.5^2 \\ 2550.25=100+2450.25[/tex]which is true. So, the triangle has a right angle.

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