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Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Sam says that the length of diagonal SQ is two times the length of diagonal OM Is Sam correct Justify your answer and show all your work Your work should state class=

Respuesta :

mhanifa

Answer:

  • Sam is NOT correct

Step-by-step explanation:

Let's find the diagonal measures using Pythagorean and compare:

  • [tex]SQ=\sqrt{12^2+6^2} =\sqrt{4*6^2+6^2} =\sqrt{5*6^2} =6\sqrt{5}[/tex]

and

  • [tex]OM=\sqrt{6^2+6^2} =\sqrt{2*6^2} =6\sqrt{2}[/tex]

Find the ratio of diagonals:

  • SQ / OM = √5 / √2 ≠ 2

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