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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

An isosceles right triangle has legs of length aa. A square is constructed on its hypotenuse. What is the area of the square?

  • A

    a2a^2

  • B

    2a22a^2

    check_circle
  • C

    a22a^2\sqrt{2}

  • D

    4a24a^2

Explanation

Hypotenuse =asqrt2= a\\sqrt{2}. Square area =(asqrt2)2=2a2= (a\\sqrt{2})^2 = 2a^2.

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