Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A rectangular box has dimensions 3, 4, and 12. What is the length of its space diagonal?

  • A

    161\sqrt{161}

  • B

    13

    check_circle
  • C

    19\sqrt{19}

  • D

    19

Explanation

Space diagonal =sqrt32+42+122=sqrt9+16+144=sqrt169=13= \\sqrt{3^2 + 4^2 + 12^2} = \\sqrt{9 + 16 + 144} = \\sqrt{169} = 13.

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