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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A square has diagonal of length 10. What is its area?

  • A

    100

  • B

    50

    check_circle
  • C

    50250\sqrt{2}

  • D

    25

Explanation

Diagonal =ssqrt2= s\\sqrt{2}, so s=frac10sqrt2=5sqrt2s = \\frac{10}{\\sqrt{2}} = 5\\sqrt{2}. Area =s2=(5sqrt2)2=50= s^2 = (5\\sqrt{2})^2 = 50.

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